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Finding the Fourth Proportional to 36.70, 54.74 and 34.09

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Solution

The fourth proportional to 36.70, 54.74 and 34.09 is: 50.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.70 : 54.74 = 34.09 : x
  2. Step 2: Convert to fraction form
    36.70/54.74 = 34.09/x
  3. Step 3: Cross multiply
    36.70x = 54.74 × 34.09
  4. Step 4: Simplify right side
    36.70x = 1,866.09
  5. Step 5: Solve for x
    x = 1,866.09/36.70
  6. Step 6: Final answer
    x = 50.85

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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.