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Finding the Fourth Proportional to 59.91, 82.70 and 41.54

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Solution

The fourth proportional to 59.91, 82.70 and 41.54 is: 57.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.91 : 82.70 = 41.54 : x
  2. Step 2: Convert to fraction form
    59.91/82.70 = 41.54/x
  3. Step 3: Cross multiply
    59.91x = 82.70 × 41.54
  4. Step 4: Simplify right side
    59.91x = 3,434.74
  5. Step 5: Solve for x
    x = 3,434.74/59.91
  6. Step 6: Final answer
    x = 57.33

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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.