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Finding the Fourth Proportional to 48.87, 73.25 and 19.96

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Solution

The fourth proportional to 48.87, 73.25 and 19.96 is: 29.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.87 : 73.25 = 19.96 : x
  2. Step 2: Convert to fraction form
    48.87/73.25 = 19.96/x
  3. Step 3: Cross multiply
    48.87x = 73.25 × 19.96
  4. Step 4: Simplify right side
    48.87x = 1,462.08
  5. Step 5: Solve for x
    x = 1,462.08/48.87
  6. Step 6: Final answer
    x = 29.92

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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.