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Finding the Fourth Proportional to 76.82, 105.80 and 66.98

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Solution

The fourth proportional to 76.82, 105.80 and 66.98 is: 92.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.82 : 105.80 = 66.98 : x
  2. Step 2: Convert to fraction form
    76.82/105.80 = 66.98/x
  3. Step 3: Cross multiply
    76.82x = 105.80 × 66.98
  4. Step 4: Simplify right side
    76.82x = 7,086.92
  5. Step 5: Solve for x
    x = 7,086.92/76.82
  6. Step 6: Final answer
    x = 92.25

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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.