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Finding the Fourth Proportional to 89.16, 133.15 and 81.98

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Solution

The fourth proportional to 89.16, 133.15 and 81.98 is: 122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.16 : 133.15 = 81.98 : x
  2. Step 2: Convert to fraction form
    89.16/133.15 = 81.98/x
  3. Step 3: Cross multiply
    89.16x = 133.15 × 81.98
  4. Step 4: Simplify right side
    89.16x = 10,914.97
  5. Step 5: Solve for x
    x = 10,914.97/89.16
  6. Step 6: Final answer
    x = 122.42

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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.