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Finding the Fourth Proportional to 77.38, 116.06 and 20.38

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Solution

The fourth proportional to 77.38, 116.06 and 20.38 is: 30.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.38 : 116.06 = 20.38 : x
  2. Step 2: Convert to fraction form
    77.38/116.06 = 20.38/x
  3. Step 3: Cross multiply
    77.38x = 116.06 × 20.38
  4. Step 4: Simplify right side
    77.38x = 2,365.30
  5. Step 5: Solve for x
    x = 2,365.30/77.38
  6. Step 6: Final answer
    x = 30.57

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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.