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Finding the Fourth Proportional to 2.64, 3.96 and 2.14

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Solution

The fourth proportional to 2.64, 3.96 and 2.14 is: 3.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.64 : 3.96 = 2.14 : x
  2. Step 2: Convert to fraction form
    2.64/3.96 = 2.14/x
  3. Step 3: Cross multiply
    2.64x = 3.96 × 2.14
  4. Step 4: Simplify right side
    2.64x = 8.46
  5. Step 5: Solve for x
    x = 8.46/2.64
  6. Step 6: Final answer
    x = 3.21

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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.