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Finding the Fourth Proportional to 7.38, 11.09 and 5.13

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Solution

The fourth proportional to 7.38, 11.09 and 5.13 is: 7.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.38 : 11.09 = 5.13 : x
  2. Step 2: Convert to fraction form
    7.38/11.09 = 5.13/x
  3. Step 3: Cross multiply
    7.38x = 11.09 × 5.13
  4. Step 4: Simplify right side
    7.38x = 56.87
  5. Step 5: Solve for x
    x = 56.87/7.38
  6. Step 6: Final answer
    x = 7.71

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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.