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Finding the Fourth Proportional to 112.78, 169.21 and 55

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Solution

The fourth proportional to 112.78, 169.21 and 55 is: 82.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.78 : 169.21 = 55 : x
  2. Step 2: Convert to fraction form
    112.78/169.21 = 55/x
  3. Step 3: Cross multiply
    112.78x = 169.21 × 55
  4. Step 4: Simplify right side
    112.78x = 9,306.28
  5. Step 5: Solve for x
    x = 9,306.28/112.78
  6. Step 6: Final answer
    x = 82.52

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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.