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Finding the Fourth Proportional to 16.47, 24.71 and 8.44

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Solution

The fourth proportional to 16.47, 24.71 and 8.44 is: 12.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.47 : 24.71 = 8.44 : x
  2. Step 2: Convert to fraction form
    16.47/24.71 = 8.44/x
  3. Step 3: Cross multiply
    16.47x = 24.71 × 8.44
  4. Step 4: Simplify right side
    16.47x = 208.45
  5. Step 5: Solve for x
    x = 208.45/16.47
  6. Step 6: Final answer
    x = 12.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.