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Finding the Fourth Proportional to 16.29, 22.46 and 12.65

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Solution

The fourth proportional to 16.29, 22.46 and 12.65 is: 17.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.29 : 22.46 = 12.65 : x
  2. Step 2: Convert to fraction form
    16.29/22.46 = 12.65/x
  3. Step 3: Cross multiply
    16.29x = 22.46 × 12.65
  4. Step 4: Simplify right side
    16.29x = 283.94
  5. Step 5: Solve for x
    x = 283.94/16.29
  6. Step 6: Final answer
    x = 17.43

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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.