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Finding the Fourth Proportional to 77.73, 107.27 and 46.64

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Solution

The fourth proportional to 77.73, 107.27 and 46.64 is: 64.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.73 : 107.27 = 46.64 : x
  2. Step 2: Convert to fraction form
    77.73/107.27 = 46.64/x
  3. Step 3: Cross multiply
    77.73x = 107.27 × 46.64
  4. Step 4: Simplify right side
    77.73x = 5,003.07
  5. Step 5: Solve for x
    x = 5,003.07/77.73
  6. Step 6: Final answer
    x = 64.36

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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.