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Finding the Fourth Proportional to 26.13, 38.92 and 24.75

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Solution

The fourth proportional to 26.13, 38.92 and 24.75 is: 36.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.13 : 38.92 = 24.75 : x
  2. Step 2: Convert to fraction form
    26.13/38.92 = 24.75/x
  3. Step 3: Cross multiply
    26.13x = 38.92 × 24.75
  4. Step 4: Simplify right side
    26.13x = 963.27
  5. Step 5: Solve for x
    x = 963.27/26.13
  6. Step 6: Final answer
    x = 36.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.