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Finding the Fourth Proportional to 59.06, 81.50 and 33.18

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Solution

The fourth proportional to 59.06, 81.50 and 33.18 is: 45.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.06 : 81.50 = 33.18 : x
  2. Step 2: Convert to fraction form
    59.06/81.50 = 33.18/x
  3. Step 3: Cross multiply
    59.06x = 81.50 × 33.18
  4. Step 4: Simplify right side
    59.06x = 2,704.17
  5. Step 5: Solve for x
    x = 2,704.17/59.06
  6. Step 6: Final answer
    x = 45.79

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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.