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Finding the Fourth Proportional to 83.93, 115.81 and 47.09

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Solution

The fourth proportional to 83.93, 115.81 and 47.09 is: 64.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.93 : 115.81 = 47.09 : x
  2. Step 2: Convert to fraction form
    83.93/115.81 = 47.09/x
  3. Step 3: Cross multiply
    83.93x = 115.81 × 47.09
  4. Step 4: Simplify right side
    83.93x = 5,452.68
  5. Step 5: Solve for x
    x = 5,452.68/83.93
  6. Step 6: Final answer
    x = 64.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.