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Finding the Fourth Proportional to 8.13, 12.19 and 5.75

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Solution

The fourth proportional to 8.13, 12.19 and 5.75 is: 8.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.13 : 12.19 = 5.75 : x
  2. Step 2: Convert to fraction form
    8.13/12.19 = 5.75/x
  3. Step 3: Cross multiply
    8.13x = 12.19 × 5.75
  4. Step 4: Simplify right side
    8.13x = 70.09
  5. Step 5: Solve for x
    x = 70.09/8.13
  6. Step 6: Final answer
    x = 8.62

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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.