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Finding the Fourth Proportional to 300, 450.09 and 107.70

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Solution

The fourth proportional to 300, 450.09 and 107.70 is: 161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 450.09 = 107.70 : x
  2. Step 2: Convert to fraction form
    300/450.09 = 107.70/x
  3. Step 3: Cross multiply
    300x = 450.09 × 107.70
  4. Step 4: Simplify right side
    300x = 48,474.69
  5. Step 5: Solve for x
    x = 48,474.69/300
  6. Step 6: Final answer
    x = 161.58

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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.