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Finding the Fourth Proportional to 2.71, 4.06 and 2.52

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Solution

The fourth proportional to 2.71, 4.06 and 2.52 is: 3.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.71 : 4.06 = 2.52 : x
  2. Step 2: Convert to fraction form
    2.71/4.06 = 2.52/x
  3. Step 3: Cross multiply
    2.71x = 4.06 × 2.52
  4. Step 4: Simplify right side
    2.71x = 10.23
  5. Step 5: Solve for x
    x = 10.23/2.71
  6. Step 6: Final answer
    x = 3.78

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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.