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Finding the Fourth Proportional to 59.30, 81.83 and 33.42

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Solution

The fourth proportional to 59.30, 81.83 and 33.42 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.30 : 81.83 = 33.42 : x
  2. Step 2: Convert to fraction form
    59.30/81.83 = 33.42/x
  3. Step 3: Cross multiply
    59.30x = 81.83 × 33.42
  4. Step 4: Simplify right side
    59.30x = 2,734.68
  5. Step 5: Solve for x
    x = 2,734.68/59.30
  6. Step 6: Final answer
    x = 46.12

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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.