Finding the Fourth Proportional to 71.31, 106.98 and 37.10

Step by Step Solution

1. Step 1: Write the proportion equation
   71.31 : 106.98 = 37.10 : x
2. Step 2: Convert to fraction form
   71.31/106.98 = 37.10/x
3. Step 3: Cross multiply
   71.31x = 106.98 × 37.10
4. Step 4: Simplify right side
   71.31x = 3,968.59
5. Step 5: Solve for x
   x = 3,968.59/71.31
6. Step 6: Final answer
   x = 55.66