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Finding the Fourth Proportional to 118.56, 178.77 and 113.16

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Solution

The fourth proportional to 118.56, 178.77 and 113.16 is: 170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.56 : 178.77 = 113.16 : x
  2. Step 2: Convert to fraction form
    118.56/178.77 = 113.16/x
  3. Step 3: Cross multiply
    118.56x = 178.77 × 113.16
  4. Step 4: Simplify right side
    118.56x = 20,229.61
  5. Step 5: Solve for x
    x = 20,229.61/118.56
  6. Step 6: Final answer
    x = 170.63

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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.