Finding the Fourth Proportional to 108.69, 149.89 and 71.84

Step by Step Solution

1. Step 1: Write the proportion equation
   108.69 : 149.89 = 71.84 : x
2. Step 2: Convert to fraction form
   108.69/149.89 = 71.84/x
3. Step 3: Cross multiply
   108.69x = 149.89 × 71.84
4. Step 4: Simplify right side
   108.69x = 10,768.10
5. Step 5: Solve for x
   x = 10,768.10/108.69
6. Step 6: Final answer
   x = 99.07