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Finding the Fourth Proportional to 63.78, 95.65 and 54.74

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Solution

The fourth proportional to 63.78, 95.65 and 54.74 is: 82.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.78 : 95.65 = 54.74 : x
  2. Step 2: Convert to fraction form
    63.78/95.65 = 54.74/x
  3. Step 3: Cross multiply
    63.78x = 95.65 × 54.74
  4. Step 4: Simplify right side
    63.78x = 5,235.88
  5. Step 5: Solve for x
    x = 5,235.88/63.78
  6. Step 6: Final answer
    x = 82.09

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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.