Finding the Fourth Proportional to 71.34, 106.89 and 51.08

Step by Step Solution

1. Step 1: Write the proportion equation
   71.34 : 106.89 = 51.08 : x
2. Step 2: Convert to fraction form
   71.34/106.89 = 51.08/x
3. Step 3: Cross multiply
   71.34x = 106.89 × 51.08
4. Step 4: Simplify right side
   71.34x = 5,459.41
5. Step 5: Solve for x
   x = 5,459.41/71.34
6. Step 6: Final answer
   x = 76.53