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Finding the Fourth Proportional to 89.46, 122.60 and 80.82

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Solution

The fourth proportional to 89.46, 122.60 and 80.82 is: 110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.46 : 122.60 = 80.82 : x
  2. Step 2: Convert to fraction form
    89.46/122.60 = 80.82/x
  3. Step 3: Cross multiply
    89.46x = 122.60 × 80.82
  4. Step 4: Simplify right side
    89.46x = 9,908.13
  5. Step 5: Solve for x
    x = 9,908.13/89.46
  6. Step 6: Final answer
    x = 110.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.