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Finding the Fourth Proportional to 3.11, 4.67 and 0.86

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Solution

The fourth proportional to 3.11, 4.67 and 0.86 is: 1.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.11 : 4.67 = 0.86 : x
  2. Step 2: Convert to fraction form
    3.11/4.67 = 0.86/x
  3. Step 3: Cross multiply
    3.11x = 4.67 × 0.86
  4. Step 4: Simplify right side
    3.11x = 4.01
  5. Step 5: Solve for x
    x = 4.01/3.11
  6. Step 6: Final answer
    x = 1.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.