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Finding the Fourth Proportional to 54.86, 82.86 and 54.86

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Solution

The fourth proportional to 54.86, 82.86 and 54.86 is: 82.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 82.86 = 54.86 : x
  2. Step 2: Convert to fraction form
    54.86/82.86 = 54.86/x
  3. Step 3: Cross multiply
    54.86x = 82.86 × 54.86
  4. Step 4: Simplify right side
    54.86x = 4,545.29
  5. Step 5: Solve for x
    x = 4,545.29/54.86
  6. Step 6: Final answer
    x = 82.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.