Finding the Fourth Proportional to 100.52, 150.76 and 83.16

Step by Step Solution

1. Step 1: Write the proportion equation
   100.52 : 150.76 = 83.16 : x
2. Step 2: Convert to fraction form
   100.52/150.76 = 83.16/x
3. Step 3: Cross multiply
   100.52x = 150.76 × 83.16
4. Step 4: Simplify right side
   100.52x = 12,537.20
5. Step 5: Solve for x
   x = 12,537.20/100.52
6. Step 6: Final answer
   x = 124.72