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Finding the Fourth Proportional to 89.45, 133.42 and 81.59

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Solution

The fourth proportional to 89.45, 133.42 and 81.59 is: 121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.45 : 133.42 = 81.59 : x
  2. Step 2: Convert to fraction form
    89.45/133.42 = 81.59/x
  3. Step 3: Cross multiply
    89.45x = 133.42 × 81.59
  4. Step 4: Simplify right side
    89.45x = 10,885.74
  5. Step 5: Solve for x
    x = 10,885.74/89.45
  6. Step 6: Final answer
    x = 121.70

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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.