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Finding the Fourth Proportional to 2.74, 4.12 and 2.74

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Solution

The fourth proportional to 2.74, 4.12 and 2.74 is: 4.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.74 : 4.12 = 2.74 : x
  2. Step 2: Convert to fraction form
    2.74/4.12 = 2.74/x
  3. Step 3: Cross multiply
    2.74x = 4.12 × 2.74
  4. Step 4: Simplify right side
    2.74x = 11.27
  5. Step 5: Solve for x
    x = 11.27/2.74
  6. Step 6: Final answer
    x = 4.12

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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.