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Finding the Fourth Proportional to 51.96, 78.06 and 33.96

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Solution

The fourth proportional to 51.96, 78.06 and 33.96 is: 51.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.96 : 78.06 = 33.96 : x
  2. Step 2: Convert to fraction form
    51.96/78.06 = 33.96/x
  3. Step 3: Cross multiply
    51.96x = 78.06 × 33.96
  4. Step 4: Simplify right side
    51.96x = 2,650.92
  5. Step 5: Solve for x
    x = 2,650.92/51.96
  6. Step 6: Final answer
    x = 51.02

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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.