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Finding the Fourth Proportional to 118.77, 178.22 and 73.23

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Solution

The fourth proportional to 118.77, 178.22 and 73.23 is: 109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.77 : 178.22 = 73.23 : x
  2. Step 2: Convert to fraction form
    118.77/178.22 = 73.23/x
  3. Step 3: Cross multiply
    118.77x = 178.22 × 73.23
  4. Step 4: Simplify right side
    118.77x = 13,049.79
  5. Step 5: Solve for x
    x = 13,049.79/118.77
  6. Step 6: Final answer
    x = 109.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.