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Finding the Fourth Proportional to 16.27, 24.27 and 14.63

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Solution

The fourth proportional to 16.27, 24.27 and 14.63 is: 21.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.27 : 24.27 = 14.63 : x
  2. Step 2: Convert to fraction form
    16.27/24.27 = 14.63/x
  3. Step 3: Cross multiply
    16.27x = 24.27 × 14.63
  4. Step 4: Simplify right side
    16.27x = 355.13
  5. Step 5: Solve for x
    x = 355.13/16.27
  6. Step 6: Final answer
    x = 21.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.