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Finding the Fourth Proportional to 16.25, 24.25 and 14.73

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Solution

The fourth proportional to 16.25, 24.25 and 14.73 is: 21.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.25 : 24.25 = 14.73 : x
  2. Step 2: Convert to fraction form
    16.25/24.25 = 14.73/x
  3. Step 3: Cross multiply
    16.25x = 24.25 × 14.73
  4. Step 4: Simplify right side
    16.25x = 357.24
  5. Step 5: Solve for x
    x = 357.24/16.25
  6. Step 6: Final answer
    x = 21.98

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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.