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Finding the Fourth Proportional to 48.89, 73.36 and 23.24

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Solution

The fourth proportional to 48.89, 73.36 and 23.24 is: 34.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.89 : 73.36 = 23.24 : x
  2. Step 2: Convert to fraction form
    48.89/73.36 = 23.24/x
  3. Step 3: Cross multiply
    48.89x = 73.36 × 23.24
  4. Step 4: Simplify right side
    48.89x = 1,704.56
  5. Step 5: Solve for x
    x = 1,704.56/48.89
  6. Step 6: Final answer
    x = 34.87

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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.