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Finding the Fourth Proportional to 79.94, 109.60 and 77.66

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Solution

The fourth proportional to 79.94, 109.60 and 77.66 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.94 : 109.60 = 77.66 : x
  2. Step 2: Convert to fraction form
    79.94/109.60 = 77.66/x
  3. Step 3: Cross multiply
    79.94x = 109.60 × 77.66
  4. Step 4: Simplify right side
    79.94x = 8,511.64
  5. Step 5: Solve for x
    x = 8,511.64/79.94
  6. Step 6: Final answer
    x = 106.48

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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.