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Finding the Fourth Proportional to 116.52, 160.82 and 82

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Solution

The fourth proportional to 116.52, 160.82 and 82 is: 113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.52 : 160.82 = 82 : x
  2. Step 2: Convert to fraction form
    116.52/160.82 = 82/x
  3. Step 3: Cross multiply
    116.52x = 160.82 × 82
  4. Step 4: Simplify right side
    116.52x = 13,187.24
  5. Step 5: Solve for x
    x = 13,187.24/116.52
  6. Step 6: Final answer
    x = 113.18

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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.