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Finding the Fourth Proportional to 82.49, 113.75 and 54.82

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Solution

The fourth proportional to 82.49, 113.75 and 54.82 is: 75.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.49 : 113.75 = 54.82 : x
  2. Step 2: Convert to fraction form
    82.49/113.75 = 54.82/x
  3. Step 3: Cross multiply
    82.49x = 113.75 × 54.82
  4. Step 4: Simplify right side
    82.49x = 6,235.78
  5. Step 5: Solve for x
    x = 6,235.78/82.49
  6. Step 6: Final answer
    x = 75.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.