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Finding the Fourth Proportional to 77.72, 107.25 and 43.22

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Solution

The fourth proportional to 77.72, 107.25 and 43.22 is: 59.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.72 : 107.25 = 43.22 : x
  2. Step 2: Convert to fraction form
    77.72/107.25 = 43.22/x
  3. Step 3: Cross multiply
    77.72x = 107.25 × 43.22
  4. Step 4: Simplify right side
    77.72x = 4,635.61
  5. Step 5: Solve for x
    x = 4,635.61/77.72
  6. Step 6: Final answer
    x = 59.64

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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.