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Finding the Fourth Proportional to 112.59, 168.84 and 54.78

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Solution

The fourth proportional to 112.59, 168.84 and 54.78 is: 82.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.59 : 168.84 = 54.78 : x
  2. Step 2: Convert to fraction form
    112.59/168.84 = 54.78/x
  3. Step 3: Cross multiply
    112.59x = 168.84 × 54.78
  4. Step 4: Simplify right side
    112.59x = 9,249.06
  5. Step 5: Solve for x
    x = 9,249.06/112.59
  6. Step 6: Final answer
    x = 82.15

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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.