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Finding the Fourth Proportional to 48.89, 73.42 and 30.73

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Solution

The fourth proportional to 48.89, 73.42 and 30.73 is: 46.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.89 : 73.42 = 30.73 : x
  2. Step 2: Convert to fraction form
    48.89/73.42 = 30.73/x
  3. Step 3: Cross multiply
    48.89x = 73.42 × 30.73
  4. Step 4: Simplify right side
    48.89x = 2,255.79
  5. Step 5: Solve for x
    x = 2,255.79/48.89
  6. Step 6: Final answer
    x = 46.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.