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Finding the Fourth Proportional to 415.17, 622.75 and 107.02

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Solution

The fourth proportional to 415.17, 622.75 and 107.02 is: 160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.17 : 622.75 = 107.02 : x
  2. Step 2: Convert to fraction form
    415.17/622.75 = 107.02/x
  3. Step 3: Cross multiply
    415.17x = 622.75 × 107.02
  4. Step 4: Simplify right side
    415.17x = 66,644.69
  5. Step 5: Solve for x
    x = 66,644.69/415.17
  6. Step 6: Final answer
    x = 160.52

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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.