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Finding the Fourth Proportional to 51.24, 77.01 and 33.33

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Solution

The fourth proportional to 51.24, 77.01 and 33.33 is: 50.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.24 : 77.01 = 33.33 : x
  2. Step 2: Convert to fraction form
    51.24/77.01 = 33.33/x
  3. Step 3: Cross multiply
    51.24x = 77.01 × 33.33
  4. Step 4: Simplify right side
    51.24x = 2,566.36
  5. Step 5: Solve for x
    x = 2,566.36/51.24
  6. Step 6: Final answer
    x = 50.09

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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.