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Finding the Fourth Proportional to 63.44, 95.03 and 49.16

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Solution

The fourth proportional to 63.44, 95.03 and 49.16 is: 73.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.44 : 95.03 = 49.16 : x
  2. Step 2: Convert to fraction form
    63.44/95.03 = 49.16/x
  3. Step 3: Cross multiply
    63.44x = 95.03 × 49.16
  4. Step 4: Simplify right side
    63.44x = 4,670.95
  5. Step 5: Solve for x
    x = 4,670.95/63.44
  6. Step 6: Final answer
    x = 73.63

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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.