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Finding the Fourth Proportional to 13.38, 20.10 and 13.24

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Solution

The fourth proportional to 13.38, 20.10 and 13.24 is: 19.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.38 : 20.10 = 13.24 : x
  2. Step 2: Convert to fraction form
    13.38/20.10 = 13.24/x
  3. Step 3: Cross multiply
    13.38x = 20.10 × 13.24
  4. Step 4: Simplify right side
    13.38x = 266.12
  5. Step 5: Solve for x
    x = 266.12/13.38
  6. Step 6: Final answer
    x = 19.89

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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.