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Finding the Fourth Proportional to 82.35, 113.67 and 57.83

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Solution

The fourth proportional to 82.35, 113.67 and 57.83 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.35 : 113.67 = 57.83 : x
  2. Step 2: Convert to fraction form
    82.35/113.67 = 57.83/x
  3. Step 3: Cross multiply
    82.35x = 113.67 × 57.83
  4. Step 4: Simplify right side
    82.35x = 6,572.97
  5. Step 5: Solve for x
    x = 6,572.97/82.35
  6. Step 6: Final answer
    x = 79.82

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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.