SOLUTION: Anastasia stacked her set of 4 nesting dolls from tallest to shortest. Each doll was 3/4 of the height of the doll before it. If the smallest doll was 67.5mm how tall was the large

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Question 1112548: Anastasia stacked her set of 4 nesting dolls from tallest to shortest. Each doll was 3/4 of the height of the doll before it. If the smallest doll was 67.5mm how tall was the largest doll?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +h+ = the height of the largest doll
+%283%2F4%29%2Ah+ = height of 2nd doll
+%283%2F4%29%2A%283%2F4%29%2Ah+ = height of 3rd doll
+%283%2F4%29%5E3%2Ah+ = height of 4th doll
-----------------------------------------
+%283%2F4%29%5E3%2Ah+=+67.5+
+.421875h+=+67.5+
+h+=+160+
The largest doll is 160 mm high