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Finding the Fourth Proportional to 8.09, 12.12 and 5.23

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Solution

The fourth proportional to 8.09, 12.12 and 5.23 is: 7.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.09 : 12.12 = 5.23 : x
  2. Step 2: Convert to fraction form
    8.09/12.12 = 5.23/x
  3. Step 3: Cross multiply
    8.09x = 12.12 × 5.23
  4. Step 4: Simplify right side
    8.09x = 63.38
  5. Step 5: Solve for x
    x = 63.38/8.09
  6. Step 6: Final answer
    x = 7.83

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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.