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Finding the Fourth Proportional to 80.12, 109.86 and 78.84

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Solution

The fourth proportional to 80.12, 109.86 and 78.84 is: 108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.12 : 109.86 = 78.84 : x
  2. Step 2: Convert to fraction form
    80.12/109.86 = 78.84/x
  3. Step 3: Cross multiply
    80.12x = 109.86 × 78.84
  4. Step 4: Simplify right side
    80.12x = 8,661.07
  5. Step 5: Solve for x
    x = 8,661.07/80.12
  6. Step 6: Final answer
    x = 108.10

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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.