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Finding the Fourth Proportional to 123.91, 185.72 and 55.29

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Solution

The fourth proportional to 123.91, 185.72 and 55.29 is: 82.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 185.72 = 55.29 : x
  2. Step 2: Convert to fraction form
    123.91/185.72 = 55.29/x
  3. Step 3: Cross multiply
    123.91x = 185.72 × 55.29
  4. Step 4: Simplify right side
    123.91x = 10,267.25
  5. Step 5: Solve for x
    x = 10,267.25/123.91
  6. Step 6: Final answer
    x = 82.86

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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.