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Finding the Fourth Proportional to 116, 173.91 and 67.82

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Solution

The fourth proportional to 116, 173.91 and 67.82 is: 101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 173.91 = 67.82 : x
  2. Step 2: Convert to fraction form
    116/173.91 = 67.82/x
  3. Step 3: Cross multiply
    116x = 173.91 × 67.82
  4. Step 4: Simplify right side
    116x = 11,794.58
  5. Step 5: Solve for x
    x = 11,794.58/116
  6. Step 6: Final answer
    x = 101.68

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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.