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Finding the Fourth Proportional to 415.38, 623.10 and 107.23

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Solution

The fourth proportional to 415.38, 623.10 and 107.23 is: 160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 623.10 = 107.23 : x
  2. Step 2: Convert to fraction form
    415.38/623.10 = 107.23/x
  3. Step 3: Cross multiply
    415.38x = 623.10 × 107.23
  4. Step 4: Simplify right side
    415.38x = 66,813.46
  5. Step 5: Solve for x
    x = 66,813.46/415.38
  6. Step 6: Final answer
    x = 160.85

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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.