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Finding the Fourth Proportional to 2.14, 2.96 and 1.96

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Solution

The fourth proportional to 2.14, 2.96 and 1.96 is: 2.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 2.96 = 1.96 : x
  2. Step 2: Convert to fraction form
    2.14/2.96 = 1.96/x
  3. Step 3: Cross multiply
    2.14x = 2.96 × 1.96
  4. Step 4: Simplify right side
    2.14x = 5.79
  5. Step 5: Solve for x
    x = 5.79/2.14
  6. Step 6: Final answer
    x = 2.71

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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.