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Finding the Fourth Proportional to 20.62, 28.41 and 14.14

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Solution

The fourth proportional to 20.62, 28.41 and 14.14 is: 19.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.62 : 28.41 = 14.14 : x
  2. Step 2: Convert to fraction form
    20.62/28.41 = 14.14/x
  3. Step 3: Cross multiply
    20.62x = 28.41 × 14.14
  4. Step 4: Simplify right side
    20.62x = 401.72
  5. Step 5: Solve for x
    x = 401.72/20.62
  6. Step 6: Final answer
    x = 19.48

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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.