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Finding the Fourth Proportional to 84.14, 126.17 and 55.25

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Solution

The fourth proportional to 84.14, 126.17 and 55.25 is: 82.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.14 : 126.17 = 55.25 : x
  2. Step 2: Convert to fraction form
    84.14/126.17 = 55.25/x
  3. Step 3: Cross multiply
    84.14x = 126.17 × 55.25
  4. Step 4: Simplify right side
    84.14x = 6,970.62
  5. Step 5: Solve for x
    x = 6,970.62/84.14
  6. Step 6: Final answer
    x = 82.85

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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.