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Finding the Fourth Proportional to 82.84, 124.24 and 21.97

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Solution

The fourth proportional to 82.84, 124.24 and 21.97 is: 32.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.84 : 124.24 = 21.97 : x
  2. Step 2: Convert to fraction form
    82.84/124.24 = 21.97/x
  3. Step 3: Cross multiply
    82.84x = 124.24 × 21.97
  4. Step 4: Simplify right side
    82.84x = 2,729.76
  5. Step 5: Solve for x
    x = 2,729.76/82.84
  6. Step 6: Final answer
    x = 32.95

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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.