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Finding the Fourth Proportional to 96.74, 144.96 and 69.63

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Solution

The fourth proportional to 96.74, 144.96 and 69.63 is: 104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 144.96 = 69.63 : x
  2. Step 2: Convert to fraction form
    96.74/144.96 = 69.63/x
  3. Step 3: Cross multiply
    96.74x = 144.96 × 69.63
  4. Step 4: Simplify right side
    96.74x = 10,093.56
  5. Step 5: Solve for x
    x = 10,093.56/96.74
  6. Step 6: Final answer
    x = 104.34

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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.