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Finding the Fourth Proportional to 160.23, 221.15 and 93.85

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Solution

The fourth proportional to 160.23, 221.15 and 93.85 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.23 : 221.15 = 93.85 : x
  2. Step 2: Convert to fraction form
    160.23/221.15 = 93.85/x
  3. Step 3: Cross multiply
    160.23x = 221.15 × 93.85
  4. Step 4: Simplify right side
    160.23x = 20,754.93
  5. Step 5: Solve for x
    x = 20,754.93/160.23
  6. Step 6: Final answer
    x = 129.53

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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.