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Finding the Fourth Proportional to 82.71, 123.84 and 66.63

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Solution

The fourth proportional to 82.71, 123.84 and 66.63 is: 99.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.71 : 123.84 = 66.63 : x
  2. Step 2: Convert to fraction form
    82.71/123.84 = 66.63/x
  3. Step 3: Cross multiply
    82.71x = 123.84 × 66.63
  4. Step 4: Simplify right side
    82.71x = 8,251.46
  5. Step 5: Solve for x
    x = 8,251.46/82.71
  6. Step 6: Final answer
    x = 99.76

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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.