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Finding the Fourth Proportional to 300.13, 450.22 and 83.71

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Solution

The fourth proportional to 300.13, 450.22 and 83.71 is: 125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.13 : 450.22 = 83.71 : x
  2. Step 2: Convert to fraction form
    300.13/450.22 = 83.71/x
  3. Step 3: Cross multiply
    300.13x = 450.22 × 83.71
  4. Step 4: Simplify right side
    300.13x = 37,685.25
  5. Step 5: Solve for x
    x = 37,685.25/300.13
  6. Step 6: Final answer
    x = 125.57

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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.