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Finding the Fourth Proportional to 2.74, 4.13 and 2.55

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Solution

The fourth proportional to 2.74, 4.13 and 2.55 is: 3.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.74 : 4.13 = 2.55 : x
  2. Step 2: Convert to fraction form
    2.74/4.13 = 2.55/x
  3. Step 3: Cross multiply
    2.74x = 4.13 × 2.55
  4. Step 4: Simplify right side
    2.74x = 10.54
  5. Step 5: Solve for x
    x = 10.54/2.74
  6. Step 6: Final answer
    x = 3.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.