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Finding the Fourth Proportional to 3.20, 4.42 and 2.18

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Solution

The fourth proportional to 3.20, 4.42 and 2.18 is: 3.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.20 : 4.42 = 2.18 : x
  2. Step 2: Convert to fraction form
    3.20/4.42 = 2.18/x
  3. Step 3: Cross multiply
    3.20x = 4.42 × 2.18
  4. Step 4: Simplify right side
    3.20x = 9.62
  5. Step 5: Solve for x
    x = 9.62/3.20
  6. Step 6: Final answer
    x = 3.01

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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.