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Finding the Fourth Proportional to 118.38, 177.64 and 98.33

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Solution

The fourth proportional to 118.38, 177.64 and 98.33 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.38 : 177.64 = 98.33 : x
  2. Step 2: Convert to fraction form
    118.38/177.64 = 98.33/x
  3. Step 3: Cross multiply
    118.38x = 177.64 × 98.33
  4. Step 4: Simplify right side
    118.38x = 17,467.54
  5. Step 5: Solve for x
    x = 17,467.54/118.38
  6. Step 6: Final answer
    x = 147.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.