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Finding the Fourth Proportional to 80.04, 120.72 and 78.96

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Solution

The fourth proportional to 80.04, 120.72 and 78.96 is: 119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.04 : 120.72 = 78.96 : x
  2. Step 2: Convert to fraction form
    80.04/120.72 = 78.96/x
  3. Step 3: Cross multiply
    80.04x = 120.72 × 78.96
  4. Step 4: Simplify right side
    80.04x = 9,532.05
  5. Step 5: Solve for x
    x = 9,532.05/80.04
  6. Step 6: Final answer
    x = 119.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.