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Finding the Fourth Proportional to 84.38, 117 and 81.62

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Solution

The fourth proportional to 84.38, 117 and 81.62 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.38 : 117 = 81.62 : x
  2. Step 2: Convert to fraction form
    84.38/117 = 81.62/x
  3. Step 3: Cross multiply
    84.38x = 117 × 81.62
  4. Step 4: Simplify right side
    84.38x = 9,549.54
  5. Step 5: Solve for x
    x = 9,549.54/84.38
  6. Step 6: Final answer
    x = 113.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.