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Finding the Fourth Proportional to 118.90, 178.44 and 73.27

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Solution

The fourth proportional to 118.90, 178.44 and 73.27 is: 109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.90 : 178.44 = 73.27 : x
  2. Step 2: Convert to fraction form
    118.90/178.44 = 73.27/x
  3. Step 3: Cross multiply
    118.90x = 178.44 × 73.27
  4. Step 4: Simplify right side
    118.90x = 13,074.25
  5. Step 5: Solve for x
    x = 13,074.25/118.90
  6. Step 6: Final answer
    x = 109.96

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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.