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Finding the Fourth Proportional to 300.53, 450.77 and 84.13

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Solution

The fourth proportional to 300.53, 450.77 and 84.13 is: 126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.53 : 450.77 = 84.13 : x
  2. Step 2: Convert to fraction form
    300.53/450.77 = 84.13/x
  3. Step 3: Cross multiply
    300.53x = 450.77 × 84.13
  4. Step 4: Simplify right side
    300.53x = 37,921.73
  5. Step 5: Solve for x
    x = 37,921.73/300.53
  6. Step 6: Final answer
    x = 126.18

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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.