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Finding the Fourth Proportional to 3.12, 4.67 and 2.05

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Solution

The fourth proportional to 3.12, 4.67 and 2.05 is: 3.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.12 : 4.67 = 2.05 : x
  2. Step 2: Convert to fraction form
    3.12/4.67 = 2.05/x
  3. Step 3: Cross multiply
    3.12x = 4.67 × 2.05
  4. Step 4: Simplify right side
    3.12x = 9.57
  5. Step 5: Solve for x
    x = 9.57/3.12
  6. Step 6: Final answer
    x = 3.07

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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.