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Finding the Fourth Proportional to 118.69, 163.77 and 77.30

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Solution

The fourth proportional to 118.69, 163.77 and 77.30 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.69 : 163.77 = 77.30 : x
  2. Step 2: Convert to fraction form
    118.69/163.77 = 77.30/x
  3. Step 3: Cross multiply
    118.69x = 163.77 × 77.30
  4. Step 4: Simplify right side
    118.69x = 12,659.42
  5. Step 5: Solve for x
    x = 12,659.42/118.69
  6. Step 6: Final answer
    x = 106.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.