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Finding the Fourth Proportional to 76.92, 114.67 and 76.24

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Solution

The fourth proportional to 76.92, 114.67 and 76.24 is: 113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 114.67 = 76.24 : x
  2. Step 2: Convert to fraction form
    76.92/114.67 = 76.24/x
  3. Step 3: Cross multiply
    76.92x = 114.67 × 76.24
  4. Step 4: Simplify right side
    76.92x = 8,742.44
  5. Step 5: Solve for x
    x = 8,742.44/76.92
  6. Step 6: Final answer
    x = 113.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.