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Finding the Fourth Proportional to 76.82, 106.01 and 41.85

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Solution

The fourth proportional to 76.82, 106.01 and 41.85 is: 57.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 106.01 = 41.85 : x
  2. Step 2: Convert to fraction form
    76.82/106.01 = 41.85/x
  3. Step 3: Cross multiply
    76.82x = 106.01 × 41.85
  4. Step 4: Simplify right side
    76.82x = 4,436.48
  5. Step 5: Solve for x
    x = 4,436.48/76.82
  6. Step 6: Final answer
    x = 57.75

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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.