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Finding the Fourth Proportional to 79.70, 118.91 and 76.97

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Solution

The fourth proportional to 79.70, 118.91 and 76.97 is: 114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.70 : 118.91 = 76.97 : x
  2. Step 2: Convert to fraction form
    79.70/118.91 = 76.97/x
  3. Step 3: Cross multiply
    79.70x = 118.91 × 76.97
  4. Step 4: Simplify right side
    79.70x = 9,152.42
  5. Step 5: Solve for x
    x = 9,152.42/79.70
  6. Step 6: Final answer
    x = 114.83

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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.