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Finding the Fourth Proportional to 20.62, 28.32 and 16.71

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Solution

The fourth proportional to 20.62, 28.32 and 16.71 is: 22.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.62 : 28.32 = 16.71 : x
  2. Step 2: Convert to fraction form
    20.62/28.32 = 16.71/x
  3. Step 3: Cross multiply
    20.62x = 28.32 × 16.71
  4. Step 4: Simplify right side
    20.62x = 473.26
  5. Step 5: Solve for x
    x = 473.26/20.62
  6. Step 6: Final answer
    x = 22.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.