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Finding the Fourth Proportional to 10.61, 15.91 and 6.82

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Solution

The fourth proportional to 10.61, 15.91 and 6.82 is: 10.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.61 : 15.91 = 6.82 : x
  2. Step 2: Convert to fraction form
    10.61/15.91 = 6.82/x
  3. Step 3: Cross multiply
    10.61x = 15.91 × 6.82
  4. Step 4: Simplify right side
    10.61x = 108.49
  5. Step 5: Solve for x
    x = 108.49/10.61
  6. Step 6: Final answer
    x = 10.22

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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.