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Finding the Fourth Proportional to 160.12, 221.12 and 116.56

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Solution

The fourth proportional to 160.12, 221.12 and 116.56 is: 160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.12 : 221.12 = 116.56 : x
  2. Step 2: Convert to fraction form
    160.12/221.12 = 116.56/x
  3. Step 3: Cross multiply
    160.12x = 221.12 × 116.56
  4. Step 4: Simplify right side
    160.12x = 25,773.75
  5. Step 5: Solve for x
    x = 25,773.75/160.12
  6. Step 6: Final answer
    x = 160.97

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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.