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Finding the Fourth Proportional to 22.76, 34.14 and 8.31

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Solution

The fourth proportional to 22.76, 34.14 and 8.31 is: 12.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.76 : 34.14 = 8.31 : x
  2. Step 2: Convert to fraction form
    22.76/34.14 = 8.31/x
  3. Step 3: Cross multiply
    22.76x = 34.14 × 8.31
  4. Step 4: Simplify right side
    22.76x = 283.66
  5. Step 5: Solve for x
    x = 283.66/22.76
  6. Step 6: Final answer
    x = 12.47

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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.