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Finding the Fourth Proportional to 24.75, 34.13 and 18.61

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Solution

The fourth proportional to 24.75, 34.13 and 18.61 is: 25.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 34.13 = 18.61 : x
  2. Step 2: Convert to fraction form
    24.75/34.13 = 18.61/x
  3. Step 3: Cross multiply
    24.75x = 34.13 × 18.61
  4. Step 4: Simplify right side
    24.75x = 635.16
  5. Step 5: Solve for x
    x = 635.16/24.75
  6. Step 6: Final answer
    x = 25.66

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