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Finding the Fourth Proportional to 118.74, 178.41 and 113.94

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Solution

The fourth proportional to 118.74, 178.41 and 113.94 is: 171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.74 : 178.41 = 113.94 : x
  2. Step 2: Convert to fraction form
    118.74/178.41 = 113.94/x
  3. Step 3: Cross multiply
    118.74x = 178.41 × 113.94
  4. Step 4: Simplify right side
    118.74x = 20,328.04
  5. Step 5: Solve for x
    x = 20,328.04/118.74
  6. Step 6: Final answer
    x = 171.20

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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.