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Finding the Fourth Proportional to 6.76, 10.10 and 6.61

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Solution

The fourth proportional to 6.76, 10.10 and 6.61 is: 9.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.76 : 10.10 = 6.61 : x
  2. Step 2: Convert to fraction form
    6.76/10.10 = 6.61/x
  3. Step 3: Cross multiply
    6.76x = 10.10 × 6.61
  4. Step 4: Simplify right side
    6.76x = 66.76
  5. Step 5: Solve for x
    x = 66.76/6.76
  6. Step 6: Final answer
    x = 9.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.