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Finding the Fourth Proportional to 415.20, 622.80 and 107.06

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Solution

The fourth proportional to 415.20, 622.80 and 107.06 is: 160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 622.80 = 107.06 : x
  2. Step 2: Convert to fraction form
    415.20/622.80 = 107.06/x
  3. Step 3: Cross multiply
    415.20x = 622.80 × 107.06
  4. Step 4: Simplify right side
    415.20x = 66,678.53
  5. Step 5: Solve for x
    x = 66,678.53/415.20
  6. Step 6: Final answer
    x = 160.59

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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.