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Finding the Fourth Proportional to 2.74, 4.12 and 1.41

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Solution

The fourth proportional to 2.74, 4.12 and 1.41 is: 2.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.74 : 4.12 = 1.41 : x
  2. Step 2: Convert to fraction form
    2.74/4.12 = 1.41/x
  3. Step 3: Cross multiply
    2.74x = 4.12 × 1.41
  4. Step 4: Simplify right side
    2.74x = 5.79
  5. Step 5: Solve for x
    x = 5.79/2.74
  6. Step 6: Final answer
    x = 2.11

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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.