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Finding the Fourth Proportional to 71.25, 98.34 and 49.44

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Solution

The fourth proportional to 71.25, 98.34 and 49.44 is: 68.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.25 : 98.34 = 49.44 : x
  2. Step 2: Convert to fraction form
    71.25/98.34 = 49.44/x
  3. Step 3: Cross multiply
    71.25x = 98.34 × 49.44
  4. Step 4: Simplify right side
    71.25x = 4,861.93
  5. Step 5: Solve for x
    x = 4,861.93/71.25
  6. Step 6: Final answer
    x = 68.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.