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Finding the Fourth Proportional to 26.62, 39.94 and 13.78

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Solution

The fourth proportional to 26.62, 39.94 and 13.78 is: 20.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.62 : 39.94 = 13.78 : x
  2. Step 2: Convert to fraction form
    26.62/39.94 = 13.78/x
  3. Step 3: Cross multiply
    26.62x = 39.94 × 13.78
  4. Step 4: Simplify right side
    26.62x = 550.52
  5. Step 5: Solve for x
    x = 550.52/26.62
  6. Step 6: Final answer
    x = 20.68

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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.