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Finding the Fourth Proportional to 118.87, 178.71 and 109.96

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Solution

The fourth proportional to 118.87, 178.71 and 109.96 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.87 : 178.71 = 109.96 : x
  2. Step 2: Convert to fraction form
    118.87/178.71 = 109.96/x
  3. Step 3: Cross multiply
    118.87x = 178.71 × 109.96
  4. Step 4: Simplify right side
    118.87x = 19,650.95
  5. Step 5: Solve for x
    x = 19,650.95/118.87
  6. Step 6: Final answer
    x = 165.31

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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.