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Finding the Fourth Proportional to 79.62, 109.02 and 77.22

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Solution

The fourth proportional to 79.62, 109.02 and 77.22 is: 105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.62 : 109.02 = 77.22 : x
  2. Step 2: Convert to fraction form
    79.62/109.02 = 77.22/x
  3. Step 3: Cross multiply
    79.62x = 109.02 × 77.22
  4. Step 4: Simplify right side
    79.62x = 8,418.52
  5. Step 5: Solve for x
    x = 8,418.52/79.62
  6. Step 6: Final answer
    x = 105.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.