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Finding the Fourth Proportional to 20.92, 31.38 and 10.78

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Solution

The fourth proportional to 20.92, 31.38 and 10.78 is: 16.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.92 : 31.38 = 10.78 : x
  2. Step 2: Convert to fraction form
    20.92/31.38 = 10.78/x
  3. Step 3: Cross multiply
    20.92x = 31.38 × 10.78
  4. Step 4: Simplify right side
    20.92x = 338.28
  5. Step 5: Solve for x
    x = 338.28/20.92
  6. Step 6: Final answer
    x = 16.17

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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.