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Finding the Fourth Proportional to 82.73, 124.09 and 21.86

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Solution

The fourth proportional to 82.73, 124.09 and 21.86 is: 32.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.73 : 124.09 = 21.86 : x
  2. Step 2: Convert to fraction form
    82.73/124.09 = 21.86/x
  3. Step 3: Cross multiply
    82.73x = 124.09 × 21.86
  4. Step 4: Simplify right side
    82.73x = 2,711.99
  5. Step 5: Solve for x
    x = 2,711.99/82.73
  6. Step 6: Final answer
    x = 32.78

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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.