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Finding the Fourth Proportional to 83.62, 124.56 and 82

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Solution

The fourth proportional to 83.62, 124.56 and 82 is: 122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.62 : 124.56 = 82 : x
  2. Step 2: Convert to fraction form
    83.62/124.56 = 82/x
  3. Step 3: Cross multiply
    83.62x = 124.56 × 82
  4. Step 4: Simplify right side
    83.62x = 10,213.92
  5. Step 5: Solve for x
    x = 10,213.92/83.62
  6. Step 6: Final answer
    x = 122.15

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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.