Since 1 foot is equal to 12 inches, then a 6-foot-tall Madeleine is 6 x 12 = <<6*12=72>>72 inches tall.
If her 108-inch shadow is decreased by 1.5 feet, then the friend's shadow is 108 - (1.5 x 12) = 108 - 18 = <<108-(1.5*12)=90>>90 inches.
Thus, the friend is 90/72 = <<90/72=1.25>>1.25 times taller than Madeleine.
Therefore, the friend is 1.25 x 6 = <<1.25*6=7.5>>7.5 feet tall. Answer: \boxed{7.5}.
If 6-foot-tall Madeleine casts an 108-inch shadow, how tall is her friend if, at the same time, his shadow is 1.5 feet shorter than hers?
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