Finding the Fourth Proportional to 105.05, 144.56 and 101.89

Step by Step Solution

1. Step 1: Write the proportion equation
   105.05 : 144.56 = 101.89 : x
2. Step 2: Convert to fraction form
   105.05/144.56 = 101.89/x
3. Step 3: Cross multiply
   105.05x = 144.56 × 101.89
4. Step 4: Simplify right side
   105.05x = 14,728.54
5. Step 5: Solve for x
   x = 14,728.54/105.05
6. Step 6: Final answer
   x = 140.20