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Finding the Fourth Proportional to 76.14, 104.86 and 67.36

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Solution

The fourth proportional to 76.14, 104.86 and 67.36 is: 92.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 104.86 = 67.36 : x
  2. Step 2: Convert to fraction form
    76.14/104.86 = 67.36/x
  3. Step 3: Cross multiply
    76.14x = 104.86 × 67.36
  4. Step 4: Simplify right side
    76.14x = 7,063.37
  5. Step 5: Solve for x
    x = 7,063.37/76.14
  6. Step 6: Final answer
    x = 92.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.