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Finding the Fourth Proportional to 36.94, 55.13 and 34.09

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Solution

The fourth proportional to 36.94, 55.13 and 34.09 is: 50.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.94 : 55.13 = 34.09 : x
  2. Step 2: Convert to fraction form
    36.94/55.13 = 34.09/x
  3. Step 3: Cross multiply
    36.94x = 55.13 × 34.09
  4. Step 4: Simplify right side
    36.94x = 1,879.38
  5. Step 5: Solve for x
    x = 1,879.38/36.94
  6. Step 6: Final answer
    x = 50.88

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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.