Finding the Fourth Proportional to 142.42, 213.71 and 61.27

Step by Step Solution

1. Step 1: Write the proportion equation
   142.42 : 213.71 = 61.27 : x
2. Step 2: Convert to fraction form
   142.42/213.71 = 61.27/x
3. Step 3: Cross multiply
   142.42x = 213.71 × 61.27
4. Step 4: Simplify right side
   142.42x = 13,094.01
5. Step 5: Solve for x
   x = 13,094.01/142.42
6. Step 6: Final answer
   x = 91.94