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Finding the Fourth Proportional to 55.05, 82.72 and 41.58

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Solution

The fourth proportional to 55.05, 82.72 and 41.58 is: 62.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.05 : 82.72 = 41.58 : x
  2. Step 2: Convert to fraction form
    55.05/82.72 = 41.58/x
  3. Step 3: Cross multiply
    55.05x = 82.72 × 41.58
  4. Step 4: Simplify right side
    55.05x = 3,439.55
  5. Step 5: Solve for x
    x = 3,439.55/55.05
  6. Step 6: Final answer
    x = 62.48

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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.