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Finding the Fourth Proportional to 51.27, 76.77 and 33.00

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Solution

The fourth proportional to 51.27, 76.77 and 33.00 is: 49.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.27 : 76.77 = 33.00 : x
  2. Step 2: Convert to fraction form
    51.27/76.77 = 33.00/x
  3. Step 3: Cross multiply
    51.27x = 76.77 × 33.00
  4. Step 4: Simplify right side
    51.27x = 2,533.57
  5. Step 5: Solve for x
    x = 2,533.57/51.27
  6. Step 6: Final answer
    x = 49.42

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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.