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Finding the Fourth Proportional to 57.69, 86.42 and 26.78

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Solution

The fourth proportional to 57.69, 86.42 and 26.78 is: 40.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.69 : 86.42 = 26.78 : x
  2. Step 2: Convert to fraction form
    57.69/86.42 = 26.78/x
  3. Step 3: Cross multiply
    57.69x = 86.42 × 26.78
  4. Step 4: Simplify right side
    57.69x = 2,314.32
  5. Step 5: Solve for x
    x = 2,314.32/57.69
  6. Step 6: Final answer
    x = 40.12

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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.