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Finding the Fourth Proportional to 2.71, 4.07 and 1.59

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Solution

The fourth proportional to 2.71, 4.07 and 1.59 is: 2.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.71 : 4.07 = 1.59 : x
  2. Step 2: Convert to fraction form
    2.71/4.07 = 1.59/x
  3. Step 3: Cross multiply
    2.71x = 4.07 × 1.59
  4. Step 4: Simplify right side
    2.71x = 6.47
  5. Step 5: Solve for x
    x = 6.47/2.71
  6. Step 6: Final answer
    x = 2.39

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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.