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Finding the Fourth Proportional to 76.82, 105.75 and 66.42

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Solution

The fourth proportional to 76.82, 105.75 and 66.42 is: 91.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 105.75 = 66.42 : x
  2. Step 2: Convert to fraction form
    76.82/105.75 = 66.42/x
  3. Step 3: Cross multiply
    76.82x = 105.75 × 66.42
  4. Step 4: Simplify right side
    76.82x = 7,023.92
  5. Step 5: Solve for x
    x = 7,023.92/76.82
  6. Step 6: Final answer
    x = 91.44

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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.