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Finding the Fourth Proportional to 63.98, 96.02 and 29.75

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Solution

The fourth proportional to 63.98, 96.02 and 29.75 is: 44.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.98 : 96.02 = 29.75 : x
  2. Step 2: Convert to fraction form
    63.98/96.02 = 29.75/x
  3. Step 3: Cross multiply
    63.98x = 96.02 × 29.75
  4. Step 4: Simplify right side
    63.98x = 2,855.97
  5. Step 5: Solve for x
    x = 2,855.97/63.98
  6. Step 6: Final answer
    x = 44.64

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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.