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Finding the Fourth Proportional to 160.23, 220.96 and 104.88

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Solution

The fourth proportional to 160.23, 220.96 and 104.88 is: 144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.23 : 220.96 = 104.88 : x
  2. Step 2: Convert to fraction form
    160.23/220.96 = 104.88/x
  3. Step 3: Cross multiply
    160.23x = 220.96 × 104.88
  4. Step 4: Simplify right side
    160.23x = 23,174.28
  5. Step 5: Solve for x
    x = 23,174.28/160.23
  6. Step 6: Final answer
    x = 144.63

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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.