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Finding the Fourth Proportional to 17.91, 24.72 and 11.43

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Solution

The fourth proportional to 17.91, 24.72 and 11.43 is: 15.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.91 : 24.72 = 11.43 : x
  2. Step 2: Convert to fraction form
    17.91/24.72 = 11.43/x
  3. Step 3: Cross multiply
    17.91x = 24.72 × 11.43
  4. Step 4: Simplify right side
    17.91x = 282.55
  5. Step 5: Solve for x
    x = 282.55/17.91
  6. Step 6: Final answer
    x = 15.78

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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.