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Finding the Fourth Proportional to 123.78, 185.50 and 55.24

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Solution

The fourth proportional to 123.78, 185.50 and 55.24 is: 82.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.78 : 185.50 = 55.24 : x
  2. Step 2: Convert to fraction form
    123.78/185.50 = 55.24/x
  3. Step 3: Cross multiply
    123.78x = 185.50 × 55.24
  4. Step 4: Simplify right side
    123.78x = 10,247.02
  5. Step 5: Solve for x
    x = 10,247.02/123.78
  6. Step 6: Final answer
    x = 82.78

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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.