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Finding the Fourth Proportional to 59.57, 89.20 and 41.24

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Solution

The fourth proportional to 59.57, 89.20 and 41.24 is: 61.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.57 : 89.20 = 41.24 : x
  2. Step 2: Convert to fraction form
    59.57/89.20 = 41.24/x
  3. Step 3: Cross multiply
    59.57x = 89.20 × 41.24
  4. Step 4: Simplify right side
    59.57x = 3,678.27
  5. Step 5: Solve for x
    x = 3,678.27/59.57
  6. Step 6: Final answer
    x = 61.75

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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.