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Finding the Fourth Proportional to 24.10, 33.26 and 13.74

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Solution

The fourth proportional to 24.10, 33.26 and 13.74 is: 18.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.10 : 33.26 = 13.74 : x
  2. Step 2: Convert to fraction form
    24.10/33.26 = 13.74/x
  3. Step 3: Cross multiply
    24.10x = 33.26 × 13.74
  4. Step 4: Simplify right side
    24.10x = 456.92
  5. Step 5: Solve for x
    x = 456.92/24.10
  6. Step 6: Final answer
    x = 18.96

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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.