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Finding the Fourth Proportional to 77.97, 107.47 and 66.34

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Solution

The fourth proportional to 77.97, 107.47 and 66.34 is: 91.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.97 : 107.47 = 66.34 : x
  2. Step 2: Convert to fraction form
    77.97/107.47 = 66.34/x
  3. Step 3: Cross multiply
    77.97x = 107.47 × 66.34
  4. Step 4: Simplify right side
    77.97x = 7,129.56
  5. Step 5: Solve for x
    x = 7,129.56/77.97
  6. Step 6: Final answer
    x = 91.44

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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.