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Finding the Fourth Proportional to 24.76, 37.06 and 13.87

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Solution

The fourth proportional to 24.76, 37.06 and 13.87 is: 20.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.76 : 37.06 = 13.87 : x
  2. Step 2: Convert to fraction form
    24.76/37.06 = 13.87/x
  3. Step 3: Cross multiply
    24.76x = 37.06 × 13.87
  4. Step 4: Simplify right side
    24.76x = 514.03
  5. Step 5: Solve for x
    x = 514.03/24.76
  6. Step 6: Final answer
    x = 20.76

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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.