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Finding the Fourth Proportional to 82.73, 124.11 and 57.08

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Solution

The fourth proportional to 82.73, 124.11 and 57.08 is: 85.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.73 : 124.11 = 57.08 : x
  2. Step 2: Convert to fraction form
    82.73/124.11 = 57.08/x
  3. Step 3: Cross multiply
    82.73x = 124.11 × 57.08
  4. Step 4: Simplify right side
    82.73x = 7,083.58
  5. Step 5: Solve for x
    x = 7,083.58/82.73
  6. Step 6: Final answer
    x = 85.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.