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Finding the Fourth Proportional to 82, 122.45 and 66.75

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Solution

The fourth proportional to 82, 122.45 and 66.75 is: 99.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 122.45 = 66.75 : x
  2. Step 2: Convert to fraction form
    82/122.45 = 66.75/x
  3. Step 3: Cross multiply
    82x = 122.45 × 66.75
  4. Step 4: Simplify right side
    82x = 8,173.54
  5. Step 5: Solve for x
    x = 8,173.54/82
  6. Step 6: Final answer
    x = 99.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.