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Finding the Fourth Proportional to 27.38, 37.82 and 20.14

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Solution

The fourth proportional to 27.38, 37.82 and 20.14 is: 27.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.38 : 37.82 = 20.14 : x
  2. Step 2: Convert to fraction form
    27.38/37.82 = 20.14/x
  3. Step 3: Cross multiply
    27.38x = 37.82 × 20.14
  4. Step 4: Simplify right side
    27.38x = 761.69
  5. Step 5: Solve for x
    x = 761.69/27.38
  6. Step 6: Final answer
    x = 27.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.