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Finding the Fourth Proportional to 146.82, 219.83 and 110.64

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Solution

The fourth proportional to 146.82, 219.83 and 110.64 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 219.83 = 110.64 : x
  2. Step 2: Convert to fraction form
    146.82/219.83 = 110.64/x
  3. Step 3: Cross multiply
    146.82x = 219.83 × 110.64
  4. Step 4: Simplify right side
    146.82x = 24,321.44
  5. Step 5: Solve for x
    x = 24,321.44/146.82
  6. Step 6: Final answer
    x = 165.65

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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.