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Finding the Fourth Proportional to 63.94, 95.98 and 33.50

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Solution

The fourth proportional to 63.94, 95.98 and 33.50 is: 50.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.94 : 95.98 = 33.50 : x
  2. Step 2: Convert to fraction form
    63.94/95.98 = 33.50/x
  3. Step 3: Cross multiply
    63.94x = 95.98 × 33.50
  4. Step 4: Simplify right side
    63.94x = 3,215.33
  5. Step 5: Solve for x
    x = 3,215.33/63.94
  6. Step 6: Final answer
    x = 50.29

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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.