Finding the Fourth Proportional to 71.10, 106.56 and 34.55

Step by Step Solution

1. Step 1: Write the proportion equation
   71.10 : 106.56 = 34.55 : x
2. Step 2: Convert to fraction form
   71.10/106.56 = 34.55/x
3. Step 3: Cross multiply
   71.10x = 106.56 × 34.55
4. Step 4: Simplify right side
   71.10x = 3,681.91
5. Step 5: Solve for x
   x = 3,681.91/71.10
6. Step 6: Final answer
   x = 51.79