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Finding the Fourth Proportional to 112.74, 168.88 and 54.88

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Solution

The fourth proportional to 112.74, 168.88 and 54.88 is: 82.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.74 : 168.88 = 54.88 : x
  2. Step 2: Convert to fraction form
    112.74/168.88 = 54.88/x
  3. Step 3: Cross multiply
    112.74x = 168.88 × 54.88
  4. Step 4: Simplify right side
    112.74x = 9,268.13
  5. Step 5: Solve for x
    x = 9,268.13/112.74
  6. Step 6: Final answer
    x = 82.21

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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.