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Finding the Fourth Proportional to 415.86, 623.81 and 107.72

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Solution

The fourth proportional to 415.86, 623.81 and 107.72 is: 161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.86 : 623.81 = 107.72 : x
  2. Step 2: Convert to fraction form
    415.86/623.81 = 107.72/x
  3. Step 3: Cross multiply
    415.86x = 623.81 × 107.72
  4. Step 4: Simplify right side
    415.86x = 67,193.16
  5. Step 5: Solve for x
    x = 67,193.16/415.86
  6. Step 6: Final answer
    x = 161.58

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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.