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Finding the Fourth Proportional to 96.69, 144.82 and 83.52

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Solution

The fourth proportional to 96.69, 144.82 and 83.52 is: 125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.69 : 144.82 = 83.52 : x
  2. Step 2: Convert to fraction form
    96.69/144.82 = 83.52/x
  3. Step 3: Cross multiply
    96.69x = 144.82 × 83.52
  4. Step 4: Simplify right side
    96.69x = 12,095.37
  5. Step 5: Solve for x
    x = 12,095.37/96.69
  6. Step 6: Final answer
    x = 125.09

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