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Finding the Fourth Proportional to 54.86, 82.18 and 29.12

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Solution

The fourth proportional to 54.86, 82.18 and 29.12 is: 43.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 82.18 = 29.12 : x
  2. Step 2: Convert to fraction form
    54.86/82.18 = 29.12/x
  3. Step 3: Cross multiply
    54.86x = 82.18 × 29.12
  4. Step 4: Simplify right side
    54.86x = 2,392.92
  5. Step 5: Solve for x
    x = 2,392.92/54.86
  6. Step 6: Final answer
    x = 43.62

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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.