Finding the Fourth Proportional to 101.50, 152.06 and 85.15

Step by Step Solution

1. Step 1: Write the proportion equation
   101.50 : 152.06 = 85.15 : x
2. Step 2: Convert to fraction form
   101.50/152.06 = 85.15/x
3. Step 3: Cross multiply
   101.50x = 152.06 × 85.15
4. Step 4: Simplify right side
   101.50x = 12,946.72
5. Step 5: Solve for x
   x = 12,946.72/101.50
6. Step 6: Final answer
   x = 127.56