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Finding the Fourth Proportional to 118.78, 178.09 and 60.18

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Solution

The fourth proportional to 118.78, 178.09 and 60.18 is: 90.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.78 : 178.09 = 60.18 : x
  2. Step 2: Convert to fraction form
    118.78/178.09 = 60.18/x
  3. Step 3: Cross multiply
    118.78x = 178.09 × 60.18
  4. Step 4: Simplify right side
    118.78x = 10,717.46
  5. Step 5: Solve for x
    x = 10,717.46/118.78
  6. Step 6: Final answer
    x = 90.23

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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.