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Finding the Fourth Proportional to 6.76, 10.16 and 6.61

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Solution

The fourth proportional to 6.76, 10.16 and 6.61 is: 9.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.76 : 10.16 = 6.61 : x
  2. Step 2: Convert to fraction form
    6.76/10.16 = 6.61/x
  3. Step 3: Cross multiply
    6.76x = 10.16 × 6.61
  4. Step 4: Simplify right side
    6.76x = 67.10
  5. Step 5: Solve for x
    x = 67.10/6.76
  6. Step 6: Final answer
    x = 9.93

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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.