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Finding the Fourth Proportional to 17.83, 24.57 and 12.97

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Solution

The fourth proportional to 17.83, 24.57 and 12.97 is: 17.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.83 : 24.57 = 12.97 : x
  2. Step 2: Convert to fraction form
    17.83/24.57 = 12.97/x
  3. Step 3: Cross multiply
    17.83x = 24.57 × 12.97
  4. Step 4: Simplify right side
    17.83x = 318.67
  5. Step 5: Solve for x
    x = 318.67/17.83
  6. Step 6: Final answer
    x = 17.87

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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.