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Finding the Fourth Proportional to 48.75, 73.08 and 19.85

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Solution

The fourth proportional to 48.75, 73.08 and 19.85 is: 29.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.75 : 73.08 = 19.85 : x
  2. Step 2: Convert to fraction form
    48.75/73.08 = 19.85/x
  3. Step 3: Cross multiply
    48.75x = 73.08 × 19.85
  4. Step 4: Simplify right side
    48.75x = 1,450.64
  5. Step 5: Solve for x
    x = 1,450.64/48.75
  6. Step 6: Final answer
    x = 29.76

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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.