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Finding the Fourth Proportional to 40.11, 60.20 and 34.71

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Solution

The fourth proportional to 40.11, 60.20 and 34.71 is: 52.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.11 : 60.20 = 34.71 : x
  2. Step 2: Convert to fraction form
    40.11/60.20 = 34.71/x
  3. Step 3: Cross multiply
    40.11x = 60.20 × 34.71
  4. Step 4: Simplify right side
    40.11x = 2,089.37
  5. Step 5: Solve for x
    x = 2,089.37/40.11
  6. Step 6: Final answer
    x = 52.09

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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.