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Finding the Fourth Proportional to 16.92, 23.28 and 13.78

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Solution

The fourth proportional to 16.92, 23.28 and 13.78 is: 18.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.92 : 23.28 = 13.78 : x
  2. Step 2: Convert to fraction form
    16.92/23.28 = 13.78/x
  3. Step 3: Cross multiply
    16.92x = 23.28 × 13.78
  4. Step 4: Simplify right side
    16.92x = 320.68
  5. Step 5: Solve for x
    x = 320.68/16.92
  6. Step 6: Final answer
    x = 18.96

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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.