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Finding the Fourth Proportional to 54.97, 82.36 and 52.86

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Solution

The fourth proportional to 54.97, 82.36 and 52.86 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.97 : 82.36 = 52.86 : x
  2. Step 2: Convert to fraction form
    54.97/82.36 = 52.86/x
  3. Step 3: Cross multiply
    54.97x = 82.36 × 52.86
  4. Step 4: Simplify right side
    54.97x = 4,353.91
  5. Step 5: Solve for x
    x = 4,353.91/54.97
  6. Step 6: Final answer
    x = 79.21

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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.