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Finding the Fourth Proportional to 8.22, 12.25 and 8.13

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Solution

The fourth proportional to 8.22, 12.25 and 8.13 is: 12.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.22 : 12.25 = 8.13 : x
  2. Step 2: Convert to fraction form
    8.22/12.25 = 8.13/x
  3. Step 3: Cross multiply
    8.22x = 12.25 × 8.13
  4. Step 4: Simplify right side
    8.22x = 99.59
  5. Step 5: Solve for x
    x = 99.59/8.22
  6. Step 6: Final answer
    x = 12.12

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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.