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Finding the Fourth Proportional to 15.14, 20.92 and 10.78

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Solution

The fourth proportional to 15.14, 20.92 and 10.78 is: 14.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.14 : 20.92 = 10.78 : x
  2. Step 2: Convert to fraction form
    15.14/20.92 = 10.78/x
  3. Step 3: Cross multiply
    15.14x = 20.92 × 10.78
  4. Step 4: Simplify right side
    15.14x = 225.52
  5. Step 5: Solve for x
    x = 225.52/15.14
  6. Step 6: Final answer
    x = 14.90

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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.