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Finding the Fourth Proportional to 381.24, 571.76 and 107.31

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Solution

The fourth proportional to 381.24, 571.76 and 107.31 is: 160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 571.76 = 107.31 : x
  2. Step 2: Convert to fraction form
    381.24/571.76 = 107.31/x
  3. Step 3: Cross multiply
    381.24x = 571.76 × 107.31
  4. Step 4: Simplify right side
    381.24x = 61,355.03
  5. Step 5: Solve for x
    x = 61,355.03/381.24
  6. Step 6: Final answer
    x = 160.94

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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.