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Finding the Fourth Proportional to 82.41, 113.77 and 54.82

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Solution

The fourth proportional to 82.41, 113.77 and 54.82 is: 75.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.41 : 113.77 = 54.82 : x
  2. Step 2: Convert to fraction form
    82.41/113.77 = 54.82/x
  3. Step 3: Cross multiply
    82.41x = 113.77 × 54.82
  4. Step 4: Simplify right side
    82.41x = 6,237.09
  5. Step 5: Solve for x
    x = 6,237.09/82.41
  6. Step 6: Final answer
    x = 75.68

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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.