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Finding the Fourth Proportional to 20.82, 31.24 and 12.27

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Solution

The fourth proportional to 20.82, 31.24 and 12.27 is: 18.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.82 : 31.24 = 12.27 : x
  2. Step 2: Convert to fraction form
    20.82/31.24 = 12.27/x
  3. Step 3: Cross multiply
    20.82x = 31.24 × 12.27
  4. Step 4: Simplify right side
    20.82x = 383.39
  5. Step 5: Solve for x
    x = 383.39/20.82
  6. Step 6: Final answer
    x = 18.41

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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.