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Finding the Fourth Proportional to 18.19, 24.97 and 16.20

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Solution

The fourth proportional to 18.19, 24.97 and 16.20 is: 22.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.19 : 24.97 = 16.20 : x
  2. Step 2: Convert to fraction form
    18.19/24.97 = 16.20/x
  3. Step 3: Cross multiply
    18.19x = 24.97 × 16.20
  4. Step 4: Simplify right side
    18.19x = 404.57
  5. Step 5: Solve for x
    x = 404.57/18.19
  6. Step 6: Final answer
    x = 22.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.