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Finding the Fourth Proportional to 387.82, 581.71 and 113.92

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Solution

The fourth proportional to 387.82, 581.71 and 113.92 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.82 : 581.71 = 113.92 : x
  2. Step 2: Convert to fraction form
    387.82/581.71 = 113.92/x
  3. Step 3: Cross multiply
    387.82x = 581.71 × 113.92
  4. Step 4: Simplify right side
    387.82x = 66,268.40
  5. Step 5: Solve for x
    x = 66,268.40/387.82
  6. Step 6: Final answer
    x = 170.87

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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.