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Finding the Fourth Proportional to 160.11, 220.98 and 116.58

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Solution

The fourth proportional to 160.11, 220.98 and 116.58 is: 160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.11 : 220.98 = 116.58 : x
  2. Step 2: Convert to fraction form
    160.11/220.98 = 116.58/x
  3. Step 3: Cross multiply
    160.11x = 220.98 × 116.58
  4. Step 4: Simplify right side
    160.11x = 25,761.85
  5. Step 5: Solve for x
    x = 25,761.85/160.11
  6. Step 6: Final answer
    x = 160.90

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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.