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Finding the Fourth Proportional to 77.09, 115.60 and 50.21

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Solution

The fourth proportional to 77.09, 115.60 and 50.21 is: 75.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 115.60 = 50.21 : x
  2. Step 2: Convert to fraction form
    77.09/115.60 = 50.21/x
  3. Step 3: Cross multiply
    77.09x = 115.60 × 50.21
  4. Step 4: Simplify right side
    77.09x = 5,804.28
  5. Step 5: Solve for x
    x = 5,804.28/77.09
  6. Step 6: Final answer
    x = 75.29

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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.