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Finding the Fourth Proportional to 77.14, 115.68 and 23.05

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Solution

The fourth proportional to 77.14, 115.68 and 23.05 is: 34.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.14 : 115.68 = 23.05 : x
  2. Step 2: Convert to fraction form
    77.14/115.68 = 23.05/x
  3. Step 3: Cross multiply
    77.14x = 115.68 × 23.05
  4. Step 4: Simplify right side
    77.14x = 2,665.85
  5. Step 5: Solve for x
    x = 2,665.85/77.14
  6. Step 6: Final answer
    x = 34.56

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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.