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Finding the Fourth Proportional to 3.71, 5.11 and 3.42

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Solution

The fourth proportional to 3.71, 5.11 and 3.42 is: 4.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.71 : 5.11 = 3.42 : x
  2. Step 2: Convert to fraction form
    3.71/5.11 = 3.42/x
  3. Step 3: Cross multiply
    3.71x = 5.11 × 3.42
  4. Step 4: Simplify right side
    3.71x = 17.47
  5. Step 5: Solve for x
    x = 17.47/3.71
  6. Step 6: Final answer
    x = 4.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.