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Finding the Fourth Proportional to 213.91, 320.83 and 83.97

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Solution

The fourth proportional to 213.91, 320.83 and 83.97 is: 125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.91 : 320.83 = 83.97 : x
  2. Step 2: Convert to fraction form
    213.91/320.83 = 83.97/x
  3. Step 3: Cross multiply
    213.91x = 320.83 × 83.97
  4. Step 4: Simplify right side
    213.91x = 26,939.89
  5. Step 5: Solve for x
    x = 26,939.89/213.91
  6. Step 6: Final answer
    x = 125.94

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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.