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Finding the Fourth Proportional to 381.06, 571.59 and 107.19

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Solution

The fourth proportional to 381.06, 571.59 and 107.19 is: 160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 571.59 = 107.19 : x
  2. Step 2: Convert to fraction form
    381.06/571.59 = 107.19/x
  3. Step 3: Cross multiply
    381.06x = 571.59 × 107.19
  4. Step 4: Simplify right side
    381.06x = 61,268.73
  5. Step 5: Solve for x
    x = 61,268.73/381.06
  6. Step 6: Final answer
    x = 160.79

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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.