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Finding the Fourth Proportional to 20, 29.96 and 16.38

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Solution

The fourth proportional to 20, 29.96 and 16.38 is: 24.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 29.96 = 16.38 : x
  2. Step 2: Convert to fraction form
    20/29.96 = 16.38/x
  3. Step 3: Cross multiply
    20x = 29.96 × 16.38
  4. Step 4: Simplify right side
    20x = 490.74
  5. Step 5: Solve for x
    x = 490.74/20
  6. Step 6: Final answer
    x = 24.54

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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.