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Finding the Fourth Proportional to 17.42, 26.00 and 13.97

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Solution

The fourth proportional to 17.42, 26.00 and 13.97 is: 20.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.42 : 26.00 = 13.97 : x
  2. Step 2: Convert to fraction form
    17.42/26.00 = 13.97/x
  3. Step 3: Cross multiply
    17.42x = 26.00 × 13.97
  4. Step 4: Simplify right side
    17.42x = 363.35
  5. Step 5: Solve for x
    x = 363.35/17.42
  6. Step 6: Final answer
    x = 20.86

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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.