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Finding the Fourth Proportional to 123.76, 185.58 and 55.24

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Solution

The fourth proportional to 123.76, 185.58 and 55.24 is: 82.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.76 : 185.58 = 55.24 : x
  2. Step 2: Convert to fraction form
    123.76/185.58 = 55.24/x
  3. Step 3: Cross multiply
    123.76x = 185.58 × 55.24
  4. Step 4: Simplify right side
    123.76x = 10,251.44
  5. Step 5: Solve for x
    x = 10,251.44/123.76
  6. Step 6: Final answer
    x = 82.83

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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.