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Finding the Fourth Proportional to 2.71, 4.06 and 1.26

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Solution

The fourth proportional to 2.71, 4.06 and 1.26 is: 1.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.71 : 4.06 = 1.26 : x
  2. Step 2: Convert to fraction form
    2.71/4.06 = 1.26/x
  3. Step 3: Cross multiply
    2.71x = 4.06 × 1.26
  4. Step 4: Simplify right side
    2.71x = 5.10
  5. Step 5: Solve for x
    x = 5.10/2.71
  6. Step 6: Final answer
    x = 1.89

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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.