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Finding the Fourth Proportional to 14.82, 20.42 and 12.78

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Solution

The fourth proportional to 14.82, 20.42 and 12.78 is: 17.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.82 : 20.42 = 12.78 : x
  2. Step 2: Convert to fraction form
    14.82/20.42 = 12.78/x
  3. Step 3: Cross multiply
    14.82x = 20.42 × 12.78
  4. Step 4: Simplify right side
    14.82x = 260.97
  5. Step 5: Solve for x
    x = 260.97/14.82
  6. Step 6: Final answer
    x = 17.61

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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.