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Finding the Fourth Proportional to 8.30, 12.41 and 7.82

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Solution

The fourth proportional to 8.30, 12.41 and 7.82 is: 11.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.30 : 12.41 = 7.82 : x
  2. Step 2: Convert to fraction form
    8.30/12.41 = 7.82/x
  3. Step 3: Cross multiply
    8.30x = 12.41 × 7.82
  4. Step 4: Simplify right side
    8.30x = 96.95
  5. Step 5: Solve for x
    x = 96.95/8.30
  6. Step 6: Final answer
    x = 11.69

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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.