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Finding the Fourth Proportional to 74.43, 111.67 and 33.84

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Solution

The fourth proportional to 74.43, 111.67 and 33.84 is: 50.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.43 : 111.67 = 33.84 : x
  2. Step 2: Convert to fraction form
    74.43/111.67 = 33.84/x
  3. Step 3: Cross multiply
    74.43x = 111.67 × 33.84
  4. Step 4: Simplify right side
    74.43x = 3,778.83
  5. Step 5: Solve for x
    x = 3,778.83/74.43
  6. Step 6: Final answer
    x = 50.77

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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.