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Finding the Fourth Proportional to 39.86, 59.76 and 37.28

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Solution

The fourth proportional to 39.86, 59.76 and 37.28 is: 55.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.86 : 59.76 = 37.28 : x
  2. Step 2: Convert to fraction form
    39.86/59.76 = 37.28/x
  3. Step 3: Cross multiply
    39.86x = 59.76 × 37.28
  4. Step 4: Simplify right side
    39.86x = 2,227.85
  5. Step 5: Solve for x
    x = 2,227.85/39.86
  6. Step 6: Final answer
    x = 55.89

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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.