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Finding the Fourth Proportional to 76.62, 114.66 and 74.82

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Solution

The fourth proportional to 76.62, 114.66 and 74.82 is: 111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 114.66 = 74.82 : x
  2. Step 2: Convert to fraction form
    76.62/114.66 = 74.82/x
  3. Step 3: Cross multiply
    76.62x = 114.66 × 74.82
  4. Step 4: Simplify right side
    76.62x = 8,578.86
  5. Step 5: Solve for x
    x = 8,578.86/76.62
  6. Step 6: Final answer
    x = 111.97

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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.