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Finding the Fourth Proportional to 160.82, 221.84 and 105.54

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Solution

The fourth proportional to 160.82, 221.84 and 105.54 is: 145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.82 : 221.84 = 105.54 : x
  2. Step 2: Convert to fraction form
    160.82/221.84 = 105.54/x
  3. Step 3: Cross multiply
    160.82x = 221.84 × 105.54
  4. Step 4: Simplify right side
    160.82x = 23,412.47
  5. Step 5: Solve for x
    x = 23,412.47/160.82
  6. Step 6: Final answer
    x = 145.59

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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.