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Finding the Fourth Proportional to 146.07, 219.38 and 100.44

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Solution

The fourth proportional to 146.07, 219.38 and 100.44 is: 150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.07 : 219.38 = 100.44 : x
  2. Step 2: Convert to fraction form
    146.07/219.38 = 100.44/x
  3. Step 3: Cross multiply
    146.07x = 219.38 × 100.44
  4. Step 4: Simplify right side
    146.07x = 22,034.03
  5. Step 5: Solve for x
    x = 22,034.03/146.07
  6. Step 6: Final answer
    x = 150.85

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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.