Finding the Fourth Proportional to 67.50, 101.28 and 31.42

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 101.28 = 31.42 : x
2. Step 2: Convert to fraction form
   67.50/101.28 = 31.42/x
3. Step 3: Cross multiply
   67.50x = 101.28 × 31.42
4. Step 4: Simplify right side
   67.50x = 3,182.46
5. Step 5: Solve for x
   x = 3,182.46/67.50
6. Step 6: Final answer
   x = 47.15