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Finding the Fourth Proportional to 77.10, 115.67 and 25.74

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Solution

The fourth proportional to 77.10, 115.67 and 25.74 is: 38.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.10 : 115.67 = 25.74 : x
  2. Step 2: Convert to fraction form
    77.10/115.67 = 25.74/x
  3. Step 3: Cross multiply
    77.10x = 115.67 × 25.74
  4. Step 4: Simplify right side
    77.10x = 2,977.22
  5. Step 5: Solve for x
    x = 2,977.22/77.10
  6. Step 6: Final answer
    x = 38.62

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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.