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Finding the Fourth Proportional to 59.06, 81.52 and 33.19

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Solution

The fourth proportional to 59.06, 81.52 and 33.19 is: 45.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.06 : 81.52 = 33.19 : x
  2. Step 2: Convert to fraction form
    59.06/81.52 = 33.19/x
  3. Step 3: Cross multiply
    59.06x = 81.52 × 33.19
  4. Step 4: Simplify right side
    59.06x = 2,705.36
  5. Step 5: Solve for x
    x = 2,705.36/59.06
  6. Step 6: Final answer
    x = 45.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.