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Finding the Fourth Proportional to 116.36, 160.57 and 67.27

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Solution

The fourth proportional to 116.36, 160.57 and 67.27 is: 92.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.36 : 160.57 = 67.27 : x
  2. Step 2: Convert to fraction form
    116.36/160.57 = 67.27/x
  3. Step 3: Cross multiply
    116.36x = 160.57 × 67.27
  4. Step 4: Simplify right side
    116.36x = 10,801.54
  5. Step 5: Solve for x
    x = 10,801.54/116.36
  6. Step 6: Final answer
    x = 92.83

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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.