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Finding the Fourth Proportional to 82, 113.08 and 66.48

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Solution

The fourth proportional to 82, 113.08 and 66.48 is: 91.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 113.08 = 66.48 : x
  2. Step 2: Convert to fraction form
    82/113.08 = 66.48/x
  3. Step 3: Cross multiply
    82x = 113.08 × 66.48
  4. Step 4: Simplify right side
    82x = 7,517.56
  5. Step 5: Solve for x
    x = 7,517.56/82
  6. Step 6: Final answer
    x = 91.68

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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.