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Finding the Fourth Proportional to 118.72, 163.79 and 69.59

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Solution

The fourth proportional to 118.72, 163.79 and 69.59 is: 96.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.72 : 163.79 = 69.59 : x
  2. Step 2: Convert to fraction form
    118.72/163.79 = 69.59/x
  3. Step 3: Cross multiply
    118.72x = 163.79 × 69.59
  4. Step 4: Simplify right side
    118.72x = 11,398.47
  5. Step 5: Solve for x
    x = 11,398.47/118.72
  6. Step 6: Final answer
    x = 96.01

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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.