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Finding the Fourth Proportional to 118.97, 164.19 and 75.33

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Solution

The fourth proportional to 118.97, 164.19 and 75.33 is: 103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.97 : 164.19 = 75.33 : x
  2. Step 2: Convert to fraction form
    118.97/164.19 = 75.33/x
  3. Step 3: Cross multiply
    118.97x = 164.19 × 75.33
  4. Step 4: Simplify right side
    118.97x = 12,368.72
  5. Step 5: Solve for x
    x = 12,368.72/118.97
  6. Step 6: Final answer
    x = 103.97

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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.