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Finding the Fourth Proportional to 10.05, 13.82 and 9.38

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Solution

The fourth proportional to 10.05, 13.82 and 9.38 is: 12.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.05 : 13.82 = 9.38 : x
  2. Step 2: Convert to fraction form
    10.05/13.82 = 9.38/x
  3. Step 3: Cross multiply
    10.05x = 13.82 × 9.38
  4. Step 4: Simplify right side
    10.05x = 129.52
  5. Step 5: Solve for x
    x = 129.52/10.05
  6. Step 6: Final answer
    x = 12.89

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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.