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Finding the Fourth Proportional to 52.06, 77.91 and 32.80

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Solution

The fourth proportional to 52.06, 77.91 and 32.80 is: 49.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.06 : 77.91 = 32.80 : x
  2. Step 2: Convert to fraction form
    52.06/77.91 = 32.80/x
  3. Step 3: Cross multiply
    52.06x = 77.91 × 32.80
  4. Step 4: Simplify right side
    52.06x = 2,555.45
  5. Step 5: Solve for x
    x = 2,555.45/52.06
  6. Step 6: Final answer
    x = 49.09

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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.