Finding the Fourth Proportional to 71.34, 106.91 and 30.72

Step by Step Solution

1. Step 1: Write the proportion equation
   71.34 : 106.91 = 30.72 : x
2. Step 2: Convert to fraction form
   71.34/106.91 = 30.72/x
3. Step 3: Cross multiply
   71.34x = 106.91 × 30.72
4. Step 4: Simplify right side
   71.34x = 3,284.28
5. Step 5: Solve for x
   x = 3,284.28/71.34
6. Step 6: Final answer
   x = 46.04