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Finding the Fourth Proportional to 76.41, 105.60 and 67.27

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Solution

The fourth proportional to 76.41, 105.60 and 67.27 is: 92.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.41 : 105.60 = 67.27 : x
  2. Step 2: Convert to fraction form
    76.41/105.60 = 67.27/x
  3. Step 3: Cross multiply
    76.41x = 105.60 × 67.27
  4. Step 4: Simplify right side
    76.41x = 7,103.71
  5. Step 5: Solve for x
    x = 7,103.71/76.41
  6. Step 6: Final answer
    x = 92.97

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Why These Related Problems?

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