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Finding the Fourth Proportional to 3.96, 5.46 and 2.14

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Solution

The fourth proportional to 3.96, 5.46 and 2.14 is: 2.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.96 : 5.46 = 2.14 : x
  2. Step 2: Convert to fraction form
    3.96/5.46 = 2.14/x
  3. Step 3: Cross multiply
    3.96x = 5.46 × 2.14
  4. Step 4: Simplify right side
    3.96x = 11.66
  5. Step 5: Solve for x
    x = 11.66/3.96
  6. Step 6: Final answer
    x = 2.95

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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.