Finding the Fourth Proportional to 142.02, 196.89 and 137.01

Step by Step Solution

1. Step 1: Write the proportion equation
   142.02 : 196.89 = 137.01 : x
2. Step 2: Convert to fraction form
   142.02/196.89 = 137.01/x
3. Step 3: Cross multiply
   142.02x = 196.89 × 137.01
4. Step 4: Simplify right side
   142.02x = 26,976.89
5. Step 5: Solve for x
   x = 26,976.89/142.02
6. Step 6: Final answer
   x = 189.95