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Finding the Fourth Proportional to 146.54, 219.78 and 55.22

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Solution

The fourth proportional to 146.54, 219.78 and 55.22 is: 82.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.54 : 219.78 = 55.22 : x
  2. Step 2: Convert to fraction form
    146.54/219.78 = 55.22/x
  3. Step 3: Cross multiply
    146.54x = 219.78 × 55.22
  4. Step 4: Simplify right side
    146.54x = 12,136.25
  5. Step 5: Solve for x
    x = 12,136.25/146.54
  6. Step 6: Final answer
    x = 82.82

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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.