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Finding the Fourth Proportional to 3.20, 4.42 and 1.74

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Solution

The fourth proportional to 3.20, 4.42 and 1.74 is: 2.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.20 : 4.42 = 1.74 : x
  2. Step 2: Convert to fraction form
    3.20/4.42 = 1.74/x
  3. Step 3: Cross multiply
    3.20x = 4.42 × 1.74
  4. Step 4: Simplify right side
    3.20x = 7.70
  5. Step 5: Solve for x
    x = 7.70/3.20
  6. Step 6: Final answer
    x = 2.41

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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.