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Finding the Fourth Proportional to 146.46, 219.62 and 77.97

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Solution

The fourth proportional to 146.46, 219.62 and 77.97 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 219.62 = 77.97 : x
  2. Step 2: Convert to fraction form
    146.46/219.62 = 77.97/x
  3. Step 3: Cross multiply
    146.46x = 219.62 × 77.97
  4. Step 4: Simplify right side
    146.46x = 17,122.87
  5. Step 5: Solve for x
    x = 17,122.87/146.46
  6. Step 6: Final answer
    x = 116.91

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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.