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Finding the Fourth Proportional to 40.05, 59.81 and 34.02

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Solution

The fourth proportional to 40.05, 59.81 and 34.02 is: 50.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.05 : 59.81 = 34.02 : x
  2. Step 2: Convert to fraction form
    40.05/59.81 = 34.02/x
  3. Step 3: Cross multiply
    40.05x = 59.81 × 34.02
  4. Step 4: Simplify right side
    40.05x = 2,034.57
  5. Step 5: Solve for x
    x = 2,034.57/40.05
  6. Step 6: Final answer
    x = 50.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.