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Finding the Fourth Proportional to 17.82, 26.67 and 13.98

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Solution

The fourth proportional to 17.82, 26.67 and 13.98 is: 20.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.82 : 26.67 = 13.98 : x
  2. Step 2: Convert to fraction form
    17.82/26.67 = 13.98/x
  3. Step 3: Cross multiply
    17.82x = 26.67 × 13.98
  4. Step 4: Simplify right side
    17.82x = 372.85
  5. Step 5: Solve for x
    x = 372.85/17.82
  6. Step 6: Final answer
    x = 20.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.