Finding the Fourth Proportional to 105.54, 145.69 and 71.06

Step by Step Solution

1. Step 1: Write the proportion equation
   105.54 : 145.69 = 71.06 : x
2. Step 2: Convert to fraction form
   105.54/145.69 = 71.06/x
3. Step 3: Cross multiply
   105.54x = 145.69 × 71.06
4. Step 4: Simplify right side
   105.54x = 10,352.73
5. Step 5: Solve for x
   x = 10,352.73/105.54
6. Step 6: Final answer
   x = 98.09