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Finding the Fourth Proportional to 106.87, 159.99 and 66.16

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Solution

The fourth proportional to 106.87, 159.99 and 66.16 is: 99.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.87 : 159.99 = 66.16 : x
  2. Step 2: Convert to fraction form
    106.87/159.99 = 66.16/x
  3. Step 3: Cross multiply
    106.87x = 159.99 × 66.16
  4. Step 4: Simplify right side
    106.87x = 10,584.94
  5. Step 5: Solve for x
    x = 10,584.94/106.87
  6. Step 6: Final answer
    x = 99.04

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