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Finding the Fourth Proportional to 75.09, 112.68 and 54.85

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Solution

The fourth proportional to 75.09, 112.68 and 54.85 is: 82.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 112.68 = 54.85 : x
  2. Step 2: Convert to fraction form
    75.09/112.68 = 54.85/x
  3. Step 3: Cross multiply
    75.09x = 112.68 × 54.85
  4. Step 4: Simplify right side
    75.09x = 6,179.93
  5. Step 5: Solve for x
    x = 6,179.93/75.09
  6. Step 6: Final answer
    x = 82.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.