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Finding the Fourth Proportional to 123.52, 185.24 and 74.76

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Solution

The fourth proportional to 123.52, 185.24 and 74.76 is: 112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.52 : 185.24 = 74.76 : x
  2. Step 2: Convert to fraction form
    123.52/185.24 = 74.76/x
  3. Step 3: Cross multiply
    123.52x = 185.24 × 74.76
  4. Step 4: Simplify right side
    123.52x = 13,848.54
  5. Step 5: Solve for x
    x = 13,848.54/123.52
  6. Step 6: Final answer
    x = 112.12

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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.