Finding the Fourth Proportional to 71.02, 106.50 and 42.09

Step by Step Solution

1. Step 1: Write the proportion equation
   71.02 : 106.50 = 42.09 : x
2. Step 2: Convert to fraction form
   71.02/106.50 = 42.09/x
3. Step 3: Cross multiply
   71.02x = 106.50 × 42.09
4. Step 4: Simplify right side
   71.02x = 4,482.59
5. Step 5: Solve for x
   x = 4,482.59/71.02
6. Step 6: Final answer
   x = 63.12