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Finding the Fourth Proportional to 77.64, 107.09 and 50.00

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Solution

The fourth proportional to 77.64, 107.09 and 50.00 is: 68.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.64 : 107.09 = 50.00 : x
  2. Step 2: Convert to fraction form
    77.64/107.09 = 50.00/x
  3. Step 3: Cross multiply
    77.64x = 107.09 × 50.00
  4. Step 4: Simplify right side
    77.64x = 5,353.90
  5. Step 5: Solve for x
    x = 5,353.90/77.64
  6. Step 6: Final answer
    x = 68.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.