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Finding the Fourth Proportional to 82.57, 113.82 and 58.06

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Solution

The fourth proportional to 82.57, 113.82 and 58.06 is: 80.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 113.82 = 58.06 : x
  2. Step 2: Convert to fraction form
    82.57/113.82 = 58.06/x
  3. Step 3: Cross multiply
    82.57x = 113.82 × 58.06
  4. Step 4: Simplify right side
    82.57x = 6,608.39
  5. Step 5: Solve for x
    x = 6,608.39/82.57
  6. Step 6: Final answer
    x = 80.03

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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.