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Finding the Fourth Proportional to 160.72, 221.76 and 119.44

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Solution

The fourth proportional to 160.72, 221.76 and 119.44 is: 164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.72 : 221.76 = 119.44 : x
  2. Step 2: Convert to fraction form
    160.72/221.76 = 119.44/x
  3. Step 3: Cross multiply
    160.72x = 221.76 × 119.44
  4. Step 4: Simplify right side
    160.72x = 26,487.01
  5. Step 5: Solve for x
    x = 26,487.01/160.72
  6. Step 6: Final answer
    x = 164.80

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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.