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Finding the Fourth Proportional to 63.97, 96.15 and 48.85

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Solution

The fourth proportional to 63.97, 96.15 and 48.85 is: 73.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.97 : 96.15 = 48.85 : x
  2. Step 2: Convert to fraction form
    63.97/96.15 = 48.85/x
  3. Step 3: Cross multiply
    63.97x = 96.15 × 48.85
  4. Step 4: Simplify right side
    63.97x = 4,696.93
  5. Step 5: Solve for x
    x = 4,696.93/63.97
  6. Step 6: Final answer
    x = 73.42

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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.