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Finding the Fourth Proportional to 16.82, 23.22 and 12.23

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Solution

The fourth proportional to 16.82, 23.22 and 12.23 is: 16.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.82 : 23.22 = 12.23 : x
  2. Step 2: Convert to fraction form
    16.82/23.22 = 12.23/x
  3. Step 3: Cross multiply
    16.82x = 23.22 × 12.23
  4. Step 4: Simplify right side
    16.82x = 283.95
  5. Step 5: Solve for x
    x = 283.95/16.82
  6. Step 6: Final answer
    x = 16.88

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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.