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Finding the Fourth Proportional to 76.91, 106.18 and 67.25

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Solution

The fourth proportional to 76.91, 106.18 and 67.25 is: 92.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.91 : 106.18 = 67.25 : x
  2. Step 2: Convert to fraction form
    76.91/106.18 = 67.25/x
  3. Step 3: Cross multiply
    76.91x = 106.18 × 67.25
  4. Step 4: Simplify right side
    76.91x = 7,140.70
  5. Step 5: Solve for x
    x = 7,140.70/76.91
  6. Step 6: Final answer
    x = 92.85

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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.