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Finding the Fourth Proportional to 81.57, 122.34 and 23.80

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Solution

The fourth proportional to 81.57, 122.34 and 23.80 is: 35.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.57 : 122.34 = 23.80 : x
  2. Step 2: Convert to fraction form
    81.57/122.34 = 23.80/x
  3. Step 3: Cross multiply
    81.57x = 122.34 × 23.80
  4. Step 4: Simplify right side
    81.57x = 2,911.57
  5. Step 5: Solve for x
    x = 2,911.57/81.57
  6. Step 6: Final answer
    x = 35.69

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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.