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Finding the Fourth Proportional to 83.58, 125.09 and 73.82

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Solution

The fourth proportional to 83.58, 125.09 and 73.82 is: 110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.58 : 125.09 = 73.82 : x
  2. Step 2: Convert to fraction form
    83.58/125.09 = 73.82/x
  3. Step 3: Cross multiply
    83.58x = 125.09 × 73.82
  4. Step 4: Simplify right side
    83.58x = 9,234.14
  5. Step 5: Solve for x
    x = 9,234.14/83.58
  6. Step 6: Final answer
    x = 110.48

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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.