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Finding the Fourth Proportional to 77.23, 115.84 and 23.12

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Solution

The fourth proportional to 77.23, 115.84 and 23.12 is: 34.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.23 : 115.84 = 23.12 : x
  2. Step 2: Convert to fraction form
    77.23/115.84 = 23.12/x
  3. Step 3: Cross multiply
    77.23x = 115.84 × 23.12
  4. Step 4: Simplify right side
    77.23x = 2,678.16
  5. Step 5: Solve for x
    x = 2,678.16/77.23
  6. Step 6: Final answer
    x = 34.68

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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.