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Finding the Fourth Proportional to 96.43, 133 and 75.69

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Solution

The fourth proportional to 96.43, 133 and 75.69 is: 104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.43 : 133 = 75.69 : x
  2. Step 2: Convert to fraction form
    96.43/133 = 75.69/x
  3. Step 3: Cross multiply
    96.43x = 133 × 75.69
  4. Step 4: Simplify right side
    96.43x = 10,066.77
  5. Step 5: Solve for x
    x = 10,066.77/96.43
  6. Step 6: Final answer
    x = 104.39

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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.