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Finding the Fourth Proportional to 57.69, 86.54 and 23.44

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Solution

The fourth proportional to 57.69, 86.54 and 23.44 is: 35.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.69 : 86.54 = 23.44 : x
  2. Step 2: Convert to fraction form
    57.69/86.54 = 23.44/x
  3. Step 3: Cross multiply
    57.69x = 86.54 × 23.44
  4. Step 4: Simplify right side
    57.69x = 2,028.50
  5. Step 5: Solve for x
    x = 2,028.50/57.69
  6. Step 6: Final answer
    x = 35.16

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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.