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Finding the Fourth Proportional to 300.09, 450.20 and 105.11

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Solution

The fourth proportional to 300.09, 450.20 and 105.11 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.09 : 450.20 = 105.11 : x
  2. Step 2: Convert to fraction form
    300.09/450.20 = 105.11/x
  3. Step 3: Cross multiply
    300.09x = 450.20 × 105.11
  4. Step 4: Simplify right side
    300.09x = 47,320.00
  5. Step 5: Solve for x
    x = 47,320.00/300.09
  6. Step 6: Final answer
    x = 157.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.