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Finding the Fourth Proportional to 37.05, 55.49 and 19.92

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Solution

The fourth proportional to 37.05, 55.49 and 19.92 is: 29.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.05 : 55.49 = 19.92 : x
  2. Step 2: Convert to fraction form
    37.05/55.49 = 19.92/x
  3. Step 3: Cross multiply
    37.05x = 55.49 × 19.92
  4. Step 4: Simplify right side
    37.05x = 1,105.26
  5. Step 5: Solve for x
    x = 1,105.26/37.05
  6. Step 6: Final answer
    x = 29.83

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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.