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Finding the Fourth Proportional to 12.47, 17.21 and 8.16

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Solution

The fourth proportional to 12.47, 17.21 and 8.16 is: 11.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.47 : 17.21 = 8.16 : x
  2. Step 2: Convert to fraction form
    12.47/17.21 = 8.16/x
  3. Step 3: Cross multiply
    12.47x = 17.21 × 8.16
  4. Step 4: Simplify right side
    12.47x = 140.43
  5. Step 5: Solve for x
    x = 140.43/12.47
  6. Step 6: Final answer
    x = 11.26

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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.