Finding the Fourth Proportional to 142.02, 195.89 and 105.30

Step by Step Solution

1. Step 1: Write the proportion equation
   142.02 : 195.89 = 105.30 : x
2. Step 2: Convert to fraction form
   142.02/195.89 = 105.30/x
3. Step 3: Cross multiply
   142.02x = 195.89 × 105.30
4. Step 4: Simplify right side
   142.02x = 20,626.69
5. Step 5: Solve for x
   x = 20,626.69/142.02
6. Step 6: Final answer
   x = 145.24