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Finding the Fourth Proportional to 24.61, 33.96 and 13.69

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Solution

The fourth proportional to 24.61, 33.96 and 13.69 is: 18.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.61 : 33.96 = 13.69 : x
  2. Step 2: Convert to fraction form
    24.61/33.96 = 13.69/x
  3. Step 3: Cross multiply
    24.61x = 33.96 × 13.69
  4. Step 4: Simplify right side
    24.61x = 464.88
  5. Step 5: Solve for x
    x = 464.88/24.61
  6. Step 6: Final answer
    x = 18.89

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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.