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Finding the Fourth Proportional to 82.06, 122.37 and 81.33

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Solution

The fourth proportional to 82.06, 122.37 and 81.33 is: 121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.06 : 122.37 = 81.33 : x
  2. Step 2: Convert to fraction form
    82.06/122.37 = 81.33/x
  3. Step 3: Cross multiply
    82.06x = 122.37 × 81.33
  4. Step 4: Simplify right side
    82.06x = 9,952.35
  5. Step 5: Solve for x
    x = 9,952.35/82.06
  6. Step 6: Final answer
    x = 121.28

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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.