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Finding the Fourth Proportional to 79.52, 108.82 and 77.84

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Solution

The fourth proportional to 79.52, 108.82 and 77.84 is: 106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.52 : 108.82 = 77.84 : x
  2. Step 2: Convert to fraction form
    79.52/108.82 = 77.84/x
  3. Step 3: Cross multiply
    79.52x = 108.82 × 77.84
  4. Step 4: Simplify right side
    79.52x = 8,470.55
  5. Step 5: Solve for x
    x = 8,470.55/79.52
  6. Step 6: Final answer
    x = 106.52

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