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Finding the Fourth Proportional to 36.96, 55.18 and 33.54

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Solution

The fourth proportional to 36.96, 55.18 and 33.54 is: 50.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.96 : 55.18 = 33.54 : x
  2. Step 2: Convert to fraction form
    36.96/55.18 = 33.54/x
  3. Step 3: Cross multiply
    36.96x = 55.18 × 33.54
  4. Step 4: Simplify right side
    36.96x = 1,850.74
  5. Step 5: Solve for x
    x = 1,850.74/36.96
  6. Step 6: Final answer
    x = 50.07

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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.