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Finding the Fourth Proportional to 300.01, 450.02 and 83.58

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Solution

The fourth proportional to 300.01, 450.02 and 83.58 is: 125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.01 : 450.02 = 83.58 : x
  2. Step 2: Convert to fraction form
    300.01/450.02 = 83.58/x
  3. Step 3: Cross multiply
    300.01x = 450.02 × 83.58
  4. Step 4: Simplify right side
    300.01x = 37,612.67
  5. Step 5: Solve for x
    x = 37,612.67/300.01
  6. Step 6: Final answer
    x = 125.37

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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.