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Finding the Fourth Proportional to 84.52, 116.82 and 77.20

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Solution

The fourth proportional to 84.52, 116.82 and 77.20 is: 106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.52 : 116.82 = 77.20 : x
  2. Step 2: Convert to fraction form
    84.52/116.82 = 77.20/x
  3. Step 3: Cross multiply
    84.52x = 116.82 × 77.20
  4. Step 4: Simplify right side
    84.52x = 9,018.50
  5. Step 5: Solve for x
    x = 9,018.50/84.52
  6. Step 6: Final answer
    x = 106.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.