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Finding the Fourth Proportional to 3.20, 4.41 and 2.66

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Solution

The fourth proportional to 3.20, 4.41 and 2.66 is: 3.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.20 : 4.41 = 2.66 : x
  2. Step 2: Convert to fraction form
    3.20/4.41 = 2.66/x
  3. Step 3: Cross multiply
    3.20x = 4.41 × 2.66
  4. Step 4: Simplify right side
    3.20x = 11.73
  5. Step 5: Solve for x
    x = 11.73/3.20
  6. Step 6: Final answer
    x = 3.67

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