Finding the Fourth Proportional to 149.72, 206.55 and 105.48

Step by Step Solution

1. Step 1: Write the proportion equation
   149.72 : 206.55 = 105.48 : x
2. Step 2: Convert to fraction form
   149.72/206.55 = 105.48/x
3. Step 3: Cross multiply
   149.72x = 206.55 × 105.48
4. Step 4: Simplify right side
   149.72x = 21,786.89
5. Step 5: Solve for x
   x = 21,786.89/149.72
6. Step 6: Final answer
   x = 145.52