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Finding the Fourth Proportional to 55.74, 76.82 and 41.88

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Solution

The fourth proportional to 55.74, 76.82 and 41.88 is: 57.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.74 : 76.82 = 41.88 : x
  2. Step 2: Convert to fraction form
    55.74/76.82 = 41.88/x
  3. Step 3: Cross multiply
    55.74x = 76.82 × 41.88
  4. Step 4: Simplify right side
    55.74x = 3,217.22
  5. Step 5: Solve for x
    x = 3,217.22/55.74
  6. Step 6: Final answer
    x = 57.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.