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Finding the Fourth Proportional to 118.54, 178.49 and 98.16

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Solution

The fourth proportional to 118.54, 178.49 and 98.16 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.54 : 178.49 = 98.16 : x
  2. Step 2: Convert to fraction form
    118.54/178.49 = 98.16/x
  3. Step 3: Cross multiply
    118.54x = 178.49 × 98.16
  4. Step 4: Simplify right side
    118.54x = 17,520.09
  5. Step 5: Solve for x
    x = 17,520.09/118.54
  6. Step 6: Final answer
    x = 147.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.