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Finding the Fourth Proportional to 381.04, 571.57 and 107.14

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Solution

The fourth proportional to 381.04, 571.57 and 107.14 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.04 : 571.57 = 107.14 : x
  2. Step 2: Convert to fraction form
    381.04/571.57 = 107.14/x
  3. Step 3: Cross multiply
    381.04x = 571.57 × 107.14
  4. Step 4: Simplify right side
    381.04x = 61,238.01
  5. Step 5: Solve for x
    x = 61,238.01/381.04
  6. Step 6: Final answer
    x = 160.71

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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.