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Finding the Fourth Proportional to 19.38, 29.09 and 13.38

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Solution

The fourth proportional to 19.38, 29.09 and 13.38 is: 20.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.38 : 29.09 = 13.38 : x
  2. Step 2: Convert to fraction form
    19.38/29.09 = 13.38/x
  3. Step 3: Cross multiply
    19.38x = 29.09 × 13.38
  4. Step 4: Simplify right side
    19.38x = 389.15
  5. Step 5: Solve for x
    x = 389.15/19.38
  6. Step 6: Final answer
    x = 20.08

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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.