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Finding the Fourth Proportional to 37.86, 52.23 and 28.14

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Solution

The fourth proportional to 37.86, 52.23 and 28.14 is: 38.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.86 : 52.23 = 28.14 : x
  2. Step 2: Convert to fraction form
    37.86/52.23 = 28.14/x
  3. Step 3: Cross multiply
    37.86x = 52.23 × 28.14
  4. Step 4: Simplify right side
    37.86x = 1,469.75
  5. Step 5: Solve for x
    x = 1,469.75/37.86
  6. Step 6: Final answer
    x = 38.82

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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.