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Finding the Fourth Proportional to 76.92, 115.40 and 25.56

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Solution

The fourth proportional to 76.92, 115.40 and 25.56 is: 38.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 115.40 = 25.56 : x
  2. Step 2: Convert to fraction form
    76.92/115.40 = 25.56/x
  3. Step 3: Cross multiply
    76.92x = 115.40 × 25.56
  4. Step 4: Simplify right side
    76.92x = 2,949.56
  5. Step 5: Solve for x
    x = 2,949.56/76.92
  6. Step 6: Final answer
    x = 38.35

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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.