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Finding the Fourth Proportional to 160.73, 221.81 and 95.24

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Solution

The fourth proportional to 160.73, 221.81 and 95.24 is: 131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.73 : 221.81 = 95.24 : x
  2. Step 2: Convert to fraction form
    160.73/221.81 = 95.24/x
  3. Step 3: Cross multiply
    160.73x = 221.81 × 95.24
  4. Step 4: Simplify right side
    160.73x = 21,125.13
  5. Step 5: Solve for x
    x = 21,125.13/160.73
  6. Step 6: Final answer
    x = 131.43

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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.