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Finding the Fourth Proportional to 96.25, 132.81 and 89.71

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Solution

The fourth proportional to 96.25, 132.81 and 89.71 is: 123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.25 : 132.81 = 89.71 : x
  2. Step 2: Convert to fraction form
    96.25/132.81 = 89.71/x
  3. Step 3: Cross multiply
    96.25x = 132.81 × 89.71
  4. Step 4: Simplify right side
    96.25x = 11,914.61
  5. Step 5: Solve for x
    x = 11,914.61/96.25
  6. Step 6: Final answer
    x = 123.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.