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Finding the Fourth Proportional to 59.29, 81.82 and 33.06

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Solution

The fourth proportional to 59.29, 81.82 and 33.06 is: 45.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.29 : 81.82 = 33.06 : x
  2. Step 2: Convert to fraction form
    59.29/81.82 = 33.06/x
  3. Step 3: Cross multiply
    59.29x = 81.82 × 33.06
  4. Step 4: Simplify right side
    59.29x = 2,704.97
  5. Step 5: Solve for x
    x = 2,704.97/59.29
  6. Step 6: Final answer
    x = 45.62

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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.