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Finding the Fourth Proportional to 82.67, 123.96 and 28.57

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Solution

The fourth proportional to 82.67, 123.96 and 28.57 is: 42.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.67 : 123.96 = 28.57 : x
  2. Step 2: Convert to fraction form
    82.67/123.96 = 28.57/x
  3. Step 3: Cross multiply
    82.67x = 123.96 × 28.57
  4. Step 4: Simplify right side
    82.67x = 3,540.92
  5. Step 5: Solve for x
    x = 3,540.92/82.67
  6. Step 6: Final answer
    x = 42.83

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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.