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Finding the Fourth Proportional to 116.39, 160.64 and 67.29

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Solution

The fourth proportional to 116.39, 160.64 and 67.29 is: 92.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.39 : 160.64 = 67.29 : x
  2. Step 2: Convert to fraction form
    116.39/160.64 = 67.29/x
  3. Step 3: Cross multiply
    116.39x = 160.64 × 67.29
  4. Step 4: Simplify right side
    116.39x = 10,809.13
  5. Step 5: Solve for x
    x = 10,809.13/116.39
  6. Step 6: Final answer
    x = 92.87

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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.