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Finding the Fourth Proportional to 79.96, 118.91 and 75.82

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Solution

The fourth proportional to 79.96, 118.91 and 75.82 is: 112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.96 : 118.91 = 75.82 : x
  2. Step 2: Convert to fraction form
    79.96/118.91 = 75.82/x
  3. Step 3: Cross multiply
    79.96x = 118.91 × 75.82
  4. Step 4: Simplify right side
    79.96x = 9,015.76
  5. Step 5: Solve for x
    x = 9,015.76/79.96
  6. Step 6: Final answer
    x = 112.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.