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Finding the Fourth Proportional to 160.80, 221.76 and 121.44

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Solution

The fourth proportional to 160.80, 221.76 and 121.44 is: 167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.80 : 221.76 = 121.44 : x
  2. Step 2: Convert to fraction form
    160.80/221.76 = 121.44/x
  3. Step 3: Cross multiply
    160.80x = 221.76 × 121.44
  4. Step 4: Simplify right side
    160.80x = 26,930.53
  5. Step 5: Solve for x
    x = 26,930.53/160.80
  6. Step 6: Final answer
    x = 167.48

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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.