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Finding the Fourth Proportional to 82.56, 113.85 and 57.66

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Solution

The fourth proportional to 82.56, 113.85 and 57.66 is: 79.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.56 : 113.85 = 57.66 : x
  2. Step 2: Convert to fraction form
    82.56/113.85 = 57.66/x
  3. Step 3: Cross multiply
    82.56x = 113.85 × 57.66
  4. Step 4: Simplify right side
    82.56x = 6,564.59
  5. Step 5: Solve for x
    x = 6,564.59/82.56
  6. Step 6: Final answer
    x = 79.51

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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.