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Finding the Fourth Proportional to 8.05, 12.11 and 7.04

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Solution

The fourth proportional to 8.05, 12.11 and 7.04 is: 10.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.05 : 12.11 = 7.04 : x
  2. Step 2: Convert to fraction form
    8.05/12.11 = 7.04/x
  3. Step 3: Cross multiply
    8.05x = 12.11 × 7.04
  4. Step 4: Simplify right side
    8.05x = 85.16
  5. Step 5: Solve for x
    x = 85.16/8.05
  6. Step 6: Final answer
    x = 10.58

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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.