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Finding the Fourth Proportional to 105.83, 158.73 and 33.71

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Solution

The fourth proportional to 105.83, 158.73 and 33.71 is: 50.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.83 : 158.73 = 33.71 : x
  2. Step 2: Convert to fraction form
    105.83/158.73 = 33.71/x
  3. Step 3: Cross multiply
    105.83x = 158.73 × 33.71
  4. Step 4: Simplify right side
    105.83x = 5,349.99
  5. Step 5: Solve for x
    x = 5,349.99/105.83
  6. Step 6: Final answer
    x = 50.56

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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.