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Finding the Fourth Proportional to 27.41, 41.11 and 13.84

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Solution

The fourth proportional to 27.41, 41.11 and 13.84 is: 20.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.41 : 41.11 = 13.84 : x
  2. Step 2: Convert to fraction form
    27.41/41.11 = 13.84/x
  3. Step 3: Cross multiply
    27.41x = 41.11 × 13.84
  4. Step 4: Simplify right side
    27.41x = 568.83
  5. Step 5: Solve for x
    x = 568.83/27.41
  6. Step 6: Final answer
    x = 20.76

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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.