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Finding the Fourth Proportional to 24.20, 34.21 and 24.20

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Solution

The fourth proportional to 24.20, 34.21 and 24.20 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.20 : 34.21 = 24.20 : x
  2. Step 2: Convert to fraction form
    24.20/34.21 = 24.20/x
  3. Step 3: Cross multiply
    24.20x = 34.21 × 24.20
  4. Step 4: Simplify right side
    24.20x = 827.88
  5. Step 5: Solve for x
    x = 827.88/24.20
  6. Step 6: Final answer
    x = 34.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.