I'm curious. How did you measure this? And how do you know your system doesn't clip during playback of tracks with dynamic range? Most ways of measuring amplifier power (that are user available/friendly) are only going to show RMS (average) levels, not peak wattage.
When I and others say their systems can handle 120dB or more, we are talking about for peaks, not for average playback levels.
Further, the problem is speaker impedance (load the amp sees) will vary widely with frequency, so using a low wattage amplifier will likely result in clipping during musical transients (like when a musician slams a drum). Low frequencies stress the amp more, and potentially cause voltage rails to sag (for under designed power supplies), resulting in clipping whether you hear it or not... These peaks happen when playing back well recorded songs with lots of dynamic range.
A system should not only be sized for the average listening level, but it should be sized for the highest peak level it will be expected to reproduce cleanly at the listening position. You absolutely need some headroom for musical transients. This isn't my opinion, but how professionals in audio engineering think (not my specialty, but I am an EE for what it's worth).
But aside from that, if these are the specs for your speakers, you can use this online calculator (scroll to bottom of page) as a guide. However, a word of caution: realize sensitivity isn't a single number in the real world. A tower might be have a sensitivity rating of 88 dB/watt, but that does not mean deep bass is anywhere near that efficient.
https://benchmarkmedia.com/blogs/calculators/amplifier-output-calculator
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You can play with the numbers and see what the peak levels can be.