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Finding the Fourth Proportional to 82.70, 123.82 and 65.61

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Solution

The fourth proportional to 82.70, 123.82 and 65.61 is: 98.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.70 : 123.82 = 65.61 : x
  2. Step 2: Convert to fraction form
    82.70/123.82 = 65.61/x
  3. Step 3: Cross multiply
    82.70x = 123.82 × 65.61
  4. Step 4: Simplify right side
    82.70x = 8,123.83
  5. Step 5: Solve for x
    x = 8,123.83/82.70
  6. Step 6: Final answer
    x = 98.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.