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Finding the Fourth Proportional to 49.03, 73.50 and 25.89

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Solution

The fourth proportional to 49.03, 73.50 and 25.89 is: 38.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.03 : 73.50 = 25.89 : x
  2. Step 2: Convert to fraction form
    49.03/73.50 = 25.89/x
  3. Step 3: Cross multiply
    49.03x = 73.50 × 25.89
  4. Step 4: Simplify right side
    49.03x = 1,902.92
  5. Step 5: Solve for x
    x = 1,902.92/49.03
  6. Step 6: Final answer
    x = 38.81

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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.