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Finding the Fourth Proportional to 415.11, 622.64 and 106.97

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Solution

The fourth proportional to 415.11, 622.64 and 106.97 is: 160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.11 : 622.64 = 106.97 : x
  2. Step 2: Convert to fraction form
    415.11/622.64 = 106.97/x
  3. Step 3: Cross multiply
    415.11x = 622.64 × 106.97
  4. Step 4: Simplify right side
    415.11x = 66,600.15
  5. Step 5: Solve for x
    x = 66,600.15/415.11
  6. Step 6: Final answer
    x = 160.44

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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.