Finding the Fourth Proportional to 109.33, 164.25 and 109.16

Step by Step Solution

1. Step 1: Write the proportion equation
   109.33 : 164.25 = 109.16 : x
2. Step 2: Convert to fraction form
   109.33/164.25 = 109.16/x
3. Step 3: Cross multiply
   109.33x = 164.25 × 109.16
4. Step 4: Simplify right side
   109.33x = 17,928.30
5. Step 5: Solve for x
   x = 17,928.30/109.33
6. Step 6: Final answer
   x = 163.99