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Finding the Fourth Proportional to 80.54, 120.74 and 75.76

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Solution

The fourth proportional to 80.54, 120.74 and 75.76 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.54 : 120.74 = 75.76 : x
  2. Step 2: Convert to fraction form
    80.54/120.74 = 75.76/x
  3. Step 3: Cross multiply
    80.54x = 120.74 × 75.76
  4. Step 4: Simplify right side
    80.54x = 9,147.26
  5. Step 5: Solve for x
    x = 9,147.26/80.54
  6. Step 6: Final answer
    x = 113.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.