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Finding the Fourth Proportional to 9.20, 12.69 and 6.04

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Solution

The fourth proportional to 9.20, 12.69 and 6.04 is: 8.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.20 : 12.69 = 6.04 : x
  2. Step 2: Convert to fraction form
    9.20/12.69 = 6.04/x
  3. Step 3: Cross multiply
    9.20x = 12.69 × 6.04
  4. Step 4: Simplify right side
    9.20x = 76.62
  5. Step 5: Solve for x
    x = 76.62/9.20
  6. Step 6: Final answer
    x = 8.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.