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Finding the Fourth Proportional to 13.92, 20.84 and 11.24

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Solution

The fourth proportional to 13.92, 20.84 and 11.24 is: 16.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.92 : 20.84 = 11.24 : x
  2. Step 2: Convert to fraction form
    13.92/20.84 = 11.24/x
  3. Step 3: Cross multiply
    13.92x = 20.84 × 11.24
  4. Step 4: Simplify right side
    13.92x = 234.24
  5. Step 5: Solve for x
    x = 234.24/13.92
  6. Step 6: Final answer
    x = 16.83

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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.