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Finding the Fourth Proportional to 105.97, 158.86 and 33.78

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Solution

The fourth proportional to 105.97, 158.86 and 33.78 is: 50.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.97 : 158.86 = 33.78 : x
  2. Step 2: Convert to fraction form
    105.97/158.86 = 33.78/x
  3. Step 3: Cross multiply
    105.97x = 158.86 × 33.78
  4. Step 4: Simplify right side
    105.97x = 5,366.60
  5. Step 5: Solve for x
    x = 5,366.60/105.97
  6. Step 6: Final answer
    x = 50.64

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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.