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Finding the Fourth Proportional to 160.46, 241.16 and 106.73

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Solution

The fourth proportional to 160.46, 241.16 and 106.73 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.46 : 241.16 = 106.73 : x
  2. Step 2: Convert to fraction form
    160.46/241.16 = 106.73/x
  3. Step 3: Cross multiply
    160.46x = 241.16 × 106.73
  4. Step 4: Simplify right side
    160.46x = 25,737.27
  5. Step 5: Solve for x
    x = 25,737.27/160.46
  6. Step 6: Final answer
    x = 160.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.