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Finding the Fourth Proportional to 16.74, 24.91 and 16.24

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Solution

The fourth proportional to 16.74, 24.91 and 16.24 is: 24.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.74 : 24.91 = 16.24 : x
  2. Step 2: Convert to fraction form
    16.74/24.91 = 16.24/x
  3. Step 3: Cross multiply
    16.74x = 24.91 × 16.24
  4. Step 4: Simplify right side
    16.74x = 404.54
  5. Step 5: Solve for x
    x = 404.54/16.74
  6. Step 6: Final answer
    x = 24.17

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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.