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Finding the Fourth Proportional to 96.75, 144.84 and 73.83

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Solution

The fourth proportional to 96.75, 144.84 and 73.83 is: 110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 144.84 = 73.83 : x
  2. Step 2: Convert to fraction form
    96.75/144.84 = 73.83/x
  3. Step 3: Cross multiply
    96.75x = 144.84 × 73.83
  4. Step 4: Simplify right side
    96.75x = 10,693.54
  5. Step 5: Solve for x
    x = 10,693.54/96.75
  6. Step 6: Final answer
    x = 110.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.