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Finding the Fourth Proportional to 300.06, 450.06 and 107.70

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Solution

The fourth proportional to 300.06, 450.06 and 107.70 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.06 : 450.06 = 107.70 : x
  2. Step 2: Convert to fraction form
    300.06/450.06 = 107.70/x
  3. Step 3: Cross multiply
    300.06x = 450.06 × 107.70
  4. Step 4: Simplify right side
    300.06x = 48,471.46
  5. Step 5: Solve for x
    x = 48,471.46/300.06
  6. Step 6: Final answer
    x = 161.54

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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.