Finding the Fourth Proportional to 71.34, 106.17 and 71.12

Step by Step Solution

1. Step 1: Write the proportion equation
   71.34 : 106.17 = 71.12 : x
2. Step 2: Convert to fraction form
   71.34/106.17 = 71.12/x
3. Step 3: Cross multiply
   71.34x = 106.17 × 71.12
4. Step 4: Simplify right side
   71.34x = 7,550.28
5. Step 5: Solve for x
   x = 7,550.28/71.34
6. Step 6: Final answer
   x = 105.84