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Finding the Fourth Proportional to 160.25, 221.06 and 104.98

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Solution

The fourth proportional to 160.25, 221.06 and 104.98 is: 144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.25 : 221.06 = 104.98 : x
  2. Step 2: Convert to fraction form
    160.25/221.06 = 104.98/x
  3. Step 3: Cross multiply
    160.25x = 221.06 × 104.98
  4. Step 4: Simplify right side
    160.25x = 23,205.25
  5. Step 5: Solve for x
    x = 23,205.25/160.25
  6. Step 6: Final answer
    x = 144.81

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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.