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Finding the Fourth Proportional to 36.95, 55.46 and 18.92

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Solution

The fourth proportional to 36.95, 55.46 and 18.92 is: 28.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.95 : 55.46 = 18.92 : x
  2. Step 2: Convert to fraction form
    36.95/55.46 = 18.92/x
  3. Step 3: Cross multiply
    36.95x = 55.46 × 18.92
  4. Step 4: Simplify right side
    36.95x = 1,049.49
  5. Step 5: Solve for x
    x = 1,049.49/36.95
  6. Step 6: Final answer
    x = 28.41

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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.