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Finding the Fourth Proportional to 160.02, 220.86 and 97.85

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Solution

The fourth proportional to 160.02, 220.86 and 97.85 is: 135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.02 : 220.86 = 97.85 : x
  2. Step 2: Convert to fraction form
    160.02/220.86 = 97.85/x
  3. Step 3: Cross multiply
    160.02x = 220.86 × 97.85
  4. Step 4: Simplify right side
    160.02x = 21,611.70
  5. Step 5: Solve for x
    x = 21,611.70/160.02
  6. Step 6: Final answer
    x = 135.06

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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.