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Finding the Fourth Proportional to 9.23, 13.82 and 8.22

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Solution

The fourth proportional to 9.23, 13.82 and 8.22 is: 12.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.23 : 13.82 = 8.22 : x
  2. Step 2: Convert to fraction form
    9.23/13.82 = 8.22/x
  3. Step 3: Cross multiply
    9.23x = 13.82 × 8.22
  4. Step 4: Simplify right side
    9.23x = 113.56
  5. Step 5: Solve for x
    x = 113.56/9.23
  6. Step 6: Final answer
    x = 12.31

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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.