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Finding the Fourth Proportional to 146.05, 218.90 and 113.78

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Solution

The fourth proportional to 146.05, 218.90 and 113.78 is: 170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.05 : 218.90 = 113.78 : x
  2. Step 2: Convert to fraction form
    146.05/218.90 = 113.78/x
  3. Step 3: Cross multiply
    146.05x = 218.90 × 113.78
  4. Step 4: Simplify right side
    146.05x = 24,907.27
  5. Step 5: Solve for x
    x = 24,907.27/146.05
  6. Step 6: Final answer
    x = 170.54

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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.