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Finding the Fourth Proportional to 55.75, 76.61 and 44.82

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Solution

The fourth proportional to 55.75, 76.61 and 44.82 is: 61.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.75 : 76.61 = 44.82 : x
  2. Step 2: Convert to fraction form
    55.75/76.61 = 44.82/x
  3. Step 3: Cross multiply
    55.75x = 76.61 × 44.82
  4. Step 4: Simplify right side
    55.75x = 3,433.66
  5. Step 5: Solve for x
    x = 3,433.66/55.75
  6. Step 6: Final answer
    x = 61.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.