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Finding the Fourth Proportional to 118.07, 178.04 and 111.70

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Solution

The fourth proportional to 118.07, 178.04 and 111.70 is: 168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.07 : 178.04 = 111.70 : x
  2. Step 2: Convert to fraction form
    118.07/178.04 = 111.70/x
  3. Step 3: Cross multiply
    118.07x = 178.04 × 111.70
  4. Step 4: Simplify right side
    118.07x = 19,887.07
  5. Step 5: Solve for x
    x = 19,887.07/118.07
  6. Step 6: Final answer
    x = 168.43

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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.