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Finding the Fourth Proportional to 17.67, 26.41 and 14.42

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Solution

The fourth proportional to 17.67, 26.41 and 14.42 is: 21.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.67 : 26.41 = 14.42 : x
  2. Step 2: Convert to fraction form
    17.67/26.41 = 14.42/x
  3. Step 3: Cross multiply
    17.67x = 26.41 × 14.42
  4. Step 4: Simplify right side
    17.67x = 380.76
  5. Step 5: Solve for x
    x = 380.76/17.67
  6. Step 6: Final answer
    x = 21.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.