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Finding the Fourth Proportional to 20.82, 31.24 and 9.42

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Solution

The fourth proportional to 20.82, 31.24 and 9.42 is: 14.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.82 : 31.24 = 9.42 : x
  2. Step 2: Convert to fraction form
    20.82/31.24 = 9.42/x
  3. Step 3: Cross multiply
    20.82x = 31.24 × 9.42
  4. Step 4: Simplify right side
    20.82x = 294.18
  5. Step 5: Solve for x
    x = 294.18/20.82
  6. Step 6: Final answer
    x = 14.13

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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.