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Finding the Fourth Proportional to 16.47, 22.78 and 12.42

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Solution

The fourth proportional to 16.47, 22.78 and 12.42 is: 17.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.47 : 22.78 = 12.42 : x
  2. Step 2: Convert to fraction form
    16.47/22.78 = 12.42/x
  3. Step 3: Cross multiply
    16.47x = 22.78 × 12.42
  4. Step 4: Simplify right side
    16.47x = 282.94
  5. Step 5: Solve for x
    x = 282.94/16.47
  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.