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Finding the Fourth Proportional to 82.57, 123.86 and 21.70

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Solution

The fourth proportional to 82.57, 123.86 and 21.70 is: 32.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 123.86 = 21.70 : x
  2. Step 2: Convert to fraction form
    82.57/123.86 = 21.70/x
  3. Step 3: Cross multiply
    82.57x = 123.86 × 21.70
  4. Step 4: Simplify right side
    82.57x = 2,687.88
  5. Step 5: Solve for x
    x = 2,687.88/82.57
  6. Step 6: Final answer
    x = 32.55

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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.