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Finding the Fourth Proportional to 107.14, 159.92 and 106.24

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Solution

The fourth proportional to 107.14, 159.92 and 106.24 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 159.92 = 106.24 : x
  2. Step 2: Convert to fraction form
    107.14/159.92 = 106.24/x
  3. Step 3: Cross multiply
    107.14x = 159.92 × 106.24
  4. Step 4: Simplify right side
    107.14x = 16,989.90
  5. Step 5: Solve for x
    x = 16,989.90/107.14
  6. Step 6: Final answer
    x = 158.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.