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Finding the Fourth Proportional to 106.89, 159.96 and 87.39

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Solution

The fourth proportional to 106.89, 159.96 and 87.39 is: 130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.89 : 159.96 = 87.39 : x
  2. Step 2: Convert to fraction form
    106.89/159.96 = 87.39/x
  3. Step 3: Cross multiply
    106.89x = 159.96 × 87.39
  4. Step 4: Simplify right side
    106.89x = 13,978.90
  5. Step 5: Solve for x
    x = 13,978.90/106.89
  6. Step 6: Final answer
    x = 130.78

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