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Finding the Fourth Proportional to 107.14, 160.72 and 84.27

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Solution

The fourth proportional to 107.14, 160.72 and 84.27 is: 126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 160.72 = 84.27 : x
  2. Step 2: Convert to fraction form
    107.14/160.72 = 84.27/x
  3. Step 3: Cross multiply
    107.14x = 160.72 × 84.27
  4. Step 4: Simplify right side
    107.14x = 13,543.87
  5. Step 5: Solve for x
    x = 13,543.87/107.14
  6. Step 6: Final answer
    x = 126.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.