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Finding the Fourth Proportional to 17.75, 24.51 and 13.68

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Solution

The fourth proportional to 17.75, 24.51 and 13.68 is: 18.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.75 : 24.51 = 13.68 : x
  2. Step 2: Convert to fraction form
    17.75/24.51 = 13.68/x
  3. Step 3: Cross multiply
    17.75x = 24.51 × 13.68
  4. Step 4: Simplify right side
    17.75x = 335.11
  5. Step 5: Solve for x
    x = 335.11/17.75
  6. Step 6: Final answer
    x = 18.88

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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.