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Finding the Fourth Proportional to 16.76, 23.14 and 12.44

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Solution

The fourth proportional to 16.76, 23.14 and 12.44 is: 17.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.76 : 23.14 = 12.44 : x
  2. Step 2: Convert to fraction form
    16.76/23.14 = 12.44/x
  3. Step 3: Cross multiply
    16.76x = 23.14 × 12.44
  4. Step 4: Simplify right side
    16.76x = 287.86
  5. Step 5: Solve for x
    x = 287.86/16.76
  6. Step 6: Final answer
    x = 17.18

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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.