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Finding the Fourth Proportional to 82.27, 113.54 and 57.71

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Solution

The fourth proportional to 82.27, 113.54 and 57.71 is: 79.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.27 : 113.54 = 57.71 : x
  2. Step 2: Convert to fraction form
    82.27/113.54 = 57.71/x
  3. Step 3: Cross multiply
    82.27x = 113.54 × 57.71
  4. Step 4: Simplify right side
    82.27x = 6,552.39
  5. Step 5: Solve for x
    x = 6,552.39/82.27
  6. Step 6: Final answer
    x = 79.65

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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.