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Finding the Fourth Proportional to 17.66, 24.37 and 12.82

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Solution

The fourth proportional to 17.66, 24.37 and 12.82 is: 17.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.66 : 24.37 = 12.82 : x
  2. Step 2: Convert to fraction form
    17.66/24.37 = 12.82/x
  3. Step 3: Cross multiply
    17.66x = 24.37 × 12.82
  4. Step 4: Simplify right side
    17.66x = 312.30
  5. Step 5: Solve for x
    x = 312.30/17.66
  6. Step 6: Final answer
    x = 17.69

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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.