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Finding the Fourth Proportional to 160.15, 221.09 and 104.97

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Solution

The fourth proportional to 160.15, 221.09 and 104.97 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.15 : 221.09 = 104.97 : x
  2. Step 2: Convert to fraction form
    160.15/221.09 = 104.97/x
  3. Step 3: Cross multiply
    160.15x = 221.09 × 104.97
  4. Step 4: Simplify right side
    160.15x = 23,207.25
  5. Step 5: Solve for x
    x = 23,207.25/160.15
  6. Step 6: Final answer
    x = 144.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.