And ripping off dragonchild's improvements on my human.pl, plus adding one improvement on your strategy we get to 94 characters:
@x=<>;print sort{$x{$a}cmp$x{$b}}map{($x{$_}=lc)=~s/\d+/0
x(length("@x")-length$&).$&/ge;$_}@x
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Incidentally nice work on the select and shuffle problems. Marginally less efficient than my solution, but a lot shorter. (Well technically your solution is quadratic, but the quadratic bit has a small constant.)
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