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Finding the Fourth Proportional to 415.61, 623.39 and 107.47

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Solution

The fourth proportional to 415.61, 623.39 and 107.47 is: 161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.61 : 623.39 = 107.47 : x
  2. Step 2: Convert to fraction form
    415.61/623.39 = 107.47/x
  3. Step 3: Cross multiply
    415.61x = 623.39 × 107.47
  4. Step 4: Simplify right side
    415.61x = 66,995.72
  5. Step 5: Solve for x
    x = 66,995.72/415.61
  6. Step 6: Final answer
    x = 161.20

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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.