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Finding the Fourth Proportional to 118.06, 178.01 and 112.66

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Solution

The fourth proportional to 118.06, 178.01 and 112.66 is: 169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.06 : 178.01 = 112.66 : x
  2. Step 2: Convert to fraction form
    118.06/178.01 = 112.66/x
  3. Step 3: Cross multiply
    118.06x = 178.01 × 112.66
  4. Step 4: Simplify right side
    118.06x = 20,054.61
  5. Step 5: Solve for x
    x = 20,054.61/118.06
  6. Step 6: Final answer
    x = 169.87

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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.