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Finding the Fourth Proportional to 381.84, 572.69 and 107.87

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Solution

The fourth proportional to 381.84, 572.69 and 107.87 is: 161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 572.69 = 107.87 : x
  2. Step 2: Convert to fraction form
    381.84/572.69 = 107.87/x
  3. Step 3: Cross multiply
    381.84x = 572.69 × 107.87
  4. Step 4: Simplify right side
    381.84x = 61,775.62
  5. Step 5: Solve for x
    x = 61,775.62/381.84
  6. Step 6: Final answer
    x = 161.78

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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.