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Finding the Fourth Proportional to 160.75, 221.82 and 90.82

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Solution

The fourth proportional to 160.75, 221.82 and 90.82 is: 125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.75 : 221.82 = 90.82 : x
  2. Step 2: Convert to fraction form
    160.75/221.82 = 90.82/x
  3. Step 3: Cross multiply
    160.75x = 221.82 × 90.82
  4. Step 4: Simplify right side
    160.75x = 20,146.22
  5. Step 5: Solve for x
    x = 20,146.22/160.75
  6. Step 6: Final answer
    x = 125.33

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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.