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Finding the Fourth Proportional to 63.98, 95.84 and 48.78

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Solution

The fourth proportional to 63.98, 95.84 and 48.78 is: 73.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.98 : 95.84 = 48.78 : x
  2. Step 2: Convert to fraction form
    63.98/95.84 = 48.78/x
  3. Step 3: Cross multiply
    63.98x = 95.84 × 48.78
  4. Step 4: Simplify right side
    63.98x = 4,675.01
  5. Step 5: Solve for x
    x = 4,675.01/63.98
  6. Step 6: Final answer
    x = 73.07

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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.