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Finding the Fourth Proportional to 77.06, 115.60 and 22.94

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Solution

The fourth proportional to 77.06, 115.60 and 22.94 is: 34.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 115.60 = 22.94 : x
  2. Step 2: Convert to fraction form
    77.06/115.60 = 22.94/x
  3. Step 3: Cross multiply
    77.06x = 115.60 × 22.94
  4. Step 4: Simplify right side
    77.06x = 2,652.10
  5. Step 5: Solve for x
    x = 2,652.10/77.06
  6. Step 6: Final answer
    x = 34.42

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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.