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Finding the Fourth Proportional to 118.13, 176.36 and 107.78

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Solution

The fourth proportional to 118.13, 176.36 and 107.78 is: 160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.13 : 176.36 = 107.78 : x
  2. Step 2: Convert to fraction form
    118.13/176.36 = 107.78/x
  3. Step 3: Cross multiply
    118.13x = 176.36 × 107.78
  4. Step 4: Simplify right side
    118.13x = 19,006.66
  5. Step 5: Solve for x
    x = 19,006.66/118.13
  6. Step 6: Final answer
    x = 160.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.