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Finding the Fourth Proportional to 104.67, 144.43 and 67.83

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Solution

The fourth proportional to 104.67, 144.43 and 67.83 is: 93.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.67 : 144.43 = 67.83 : x
  2. Step 2: Convert to fraction form
    104.67/144.43 = 67.83/x
  3. Step 3: Cross multiply
    104.67x = 144.43 × 67.83
  4. Step 4: Simplify right side
    104.67x = 9,795.98
  5. Step 5: Solve for x
    x = 9,795.98/104.67
  6. Step 6: Final answer
    x = 93.59

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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.