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Finding the Fourth Proportional to 116.14, 160.31 and 67.05

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Solution

The fourth proportional to 116.14, 160.31 and 67.05 is: 92.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 160.31 = 67.05 : x
  2. Step 2: Convert to fraction form
    116.14/160.31 = 67.05/x
  3. Step 3: Cross multiply
    116.14x = 160.31 × 67.05
  4. Step 4: Simplify right side
    116.14x = 10,748.05
  5. Step 5: Solve for x
    x = 10,748.05/116.14
  6. Step 6: Final answer
    x = 92.55

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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.