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Finding the Fourth Proportional to 89.89, 134.20 and 80.77

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Solution

The fourth proportional to 89.89, 134.20 and 80.77 is: 120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.89 : 134.20 = 80.77 : x
  2. Step 2: Convert to fraction form
    89.89/134.20 = 80.77/x
  3. Step 3: Cross multiply
    89.89x = 134.20 × 80.77
  4. Step 4: Simplify right side
    89.89x = 10,839.33
  5. Step 5: Solve for x
    x = 10,839.33/89.89
  6. Step 6: Final answer
    x = 120.58

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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.