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Finding the Fourth Proportional to 16.85, 23.25 and 12.23

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Solution

The fourth proportional to 16.85, 23.25 and 12.23 is: 16.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.85 : 23.25 = 12.23 : x
  2. Step 2: Convert to fraction form
    16.85/23.25 = 12.23/x
  3. Step 3: Cross multiply
    16.85x = 23.25 × 12.23
  4. Step 4: Simplify right side
    16.85x = 284.35
  5. Step 5: Solve for x
    x = 284.35/16.85
  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.