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Finding the Fourth Proportional to 6.76, 9.31 and 6.67

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Solution

The fourth proportional to 6.76, 9.31 and 6.67 is: 9.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.76 : 9.31 = 6.67 : x
  2. Step 2: Convert to fraction form
    6.76/9.31 = 6.67/x
  3. Step 3: Cross multiply
    6.76x = 9.31 × 6.67
  4. Step 4: Simplify right side
    6.76x = 62.10
  5. Step 5: Solve for x
    x = 62.10/6.76
  6. Step 6: Final answer
    x = 9.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.