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Finding the Fourth Proportional to 37.12, 51.17 and 28.73

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Solution

The fourth proportional to 37.12, 51.17 and 28.73 is: 39.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.12 : 51.17 = 28.73 : x
  2. Step 2: Convert to fraction form
    37.12/51.17 = 28.73/x
  3. Step 3: Cross multiply
    37.12x = 51.17 × 28.73
  4. Step 4: Simplify right side
    37.12x = 1,470.11
  5. Step 5: Solve for x
    x = 1,470.11/37.12
  6. Step 6: Final answer
    x = 39.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.