Finding the Fourth Proportional to 142.42, 196.49 and 83.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142.42 : 196.49 = 83.38 : x
2. Step 2: Convert to fraction form
   142.42/196.49 = 83.38/x
3. Step 3: Cross multiply
   142.42x = 196.49 × 83.38
4. Step 4: Simplify right side
   142.42x = 16,383.34
5. Step 5: Solve for x
   x = 16,383.34/142.42
6. Step 6: Final answer
   x = 115.04