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Finding the Fourth Proportional to 22.75, 34.11 and 20.59

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Solution

The fourth proportional to 22.75, 34.11 and 20.59 is: 30.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 34.11 = 20.59 : x
  2. Step 2: Convert to fraction form
    22.75/34.11 = 20.59/x
  3. Step 3: Cross multiply
    22.75x = 34.11 × 20.59
  4. Step 4: Simplify right side
    22.75x = 702.24
  5. Step 5: Solve for x
    x = 702.24/22.75
  6. Step 6: Final answer
    x = 30.87

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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.