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Finding the Fourth Proportional to 63.94, 95.91 and 42.25

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Solution

The fourth proportional to 63.94, 95.91 and 42.25 is: 63.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.94 : 95.91 = 42.25 : x
  2. Step 2: Convert to fraction form
    63.94/95.91 = 42.25/x
  3. Step 3: Cross multiply
    63.94x = 95.91 × 42.25
  4. Step 4: Simplify right side
    63.94x = 4,052.20
  5. Step 5: Solve for x
    x = 4,052.20/63.94
  6. Step 6: Final answer
    x = 63.38

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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.