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Finding the Fourth Proportional to 52.09, 77.96 and 32.82

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Solution

The fourth proportional to 52.09, 77.96 and 32.82 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 77.96 = 32.82 : x
  2. Step 2: Convert to fraction form
    52.09/77.96 = 32.82/x
  3. Step 3: Cross multiply
    52.09x = 77.96 × 32.82
  4. Step 4: Simplify right side
    52.09x = 2,558.65
  5. Step 5: Solve for x
    x = 2,558.65/52.09
  6. Step 6: Final answer
    x = 49.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.