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Finding the Fourth Proportional to 59.85, 89.82 and 41.88

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Solution

The fourth proportional to 59.85, 89.82 and 41.88 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.85 : 89.82 = 41.88 : x
  2. Step 2: Convert to fraction form
    59.85/89.82 = 41.88/x
  3. Step 3: Cross multiply
    59.85x = 89.82 × 41.88
  4. Step 4: Simplify right side
    59.85x = 3,761.66
  5. Step 5: Solve for x
    x = 3,761.66/59.85
  6. Step 6: Final answer
    x = 62.85

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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.