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Finding the Fourth Proportional to 79.77, 109.44 and 68.84

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Solution

The fourth proportional to 79.77, 109.44 and 68.84 is: 94.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.77 : 109.44 = 68.84 : x
  2. Step 2: Convert to fraction form
    79.77/109.44 = 68.84/x
  3. Step 3: Cross multiply
    79.77x = 109.44 × 68.84
  4. Step 4: Simplify right side
    79.77x = 7,533.85
  5. Step 5: Solve for x
    x = 7,533.85/79.77
  6. Step 6: Final answer
    x = 94.44

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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.