Finding the Fourth Proportional to 105.69, 145.96 and 105.49

Step by Step Solution

1. Step 1: Write the proportion equation
   105.69 : 145.96 = 105.49 : x
2. Step 2: Convert to fraction form
   105.69/145.96 = 105.49/x
3. Step 3: Cross multiply
   105.69x = 145.96 × 105.49
4. Step 4: Simplify right side
   105.69x = 15,396.69
5. Step 5: Solve for x
   x = 15,396.69/105.69
6. Step 6: Final answer
   x = 145.68