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Finding the Fourth Proportional to 17.46, 24.02 and 13.75

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Solution

The fourth proportional to 17.46, 24.02 and 13.75 is: 18.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.46 : 24.02 = 13.75 : x
  2. Step 2: Convert to fraction form
    17.46/24.02 = 13.75/x
  3. Step 3: Cross multiply
    17.46x = 24.02 × 13.75
  4. Step 4: Simplify right side
    17.46x = 330.15
  5. Step 5: Solve for x
    x = 330.15/17.46
  6. Step 6: Final answer
    x = 18.91

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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.