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Finding the Fourth Proportional to 20.29, 30.42 and 8.09

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Solution

The fourth proportional to 20.29, 30.42 and 8.09 is: 12.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.29 : 30.42 = 8.09 : x
  2. Step 2: Convert to fraction form
    20.29/30.42 = 8.09/x
  3. Step 3: Cross multiply
    20.29x = 30.42 × 8.09
  4. Step 4: Simplify right side
    20.29x = 246.24
  5. Step 5: Solve for x
    x = 246.24/20.29
  6. Step 6: Final answer
    x = 12.14

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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.