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Finding the Fourth Proportional to 118.67, 177.66 and 107.33

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Solution

The fourth proportional to 118.67, 177.66 and 107.33 is: 160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.67 : 177.66 = 107.33 : x
  2. Step 2: Convert to fraction form
    118.67/177.66 = 107.33/x
  3. Step 3: Cross multiply
    118.67x = 177.66 × 107.33
  4. Step 4: Simplify right side
    118.67x = 19,067.36
  5. Step 5: Solve for x
    x = 19,067.36/118.67
  6. Step 6: Final answer
    x = 160.68

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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.