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Finding the Fourth Proportional to 119.78, 165.17 and 77.73

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Solution

The fourth proportional to 119.78, 165.17 and 77.73 is: 107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.78 : 165.17 = 77.73 : x
  2. Step 2: Convert to fraction form
    119.78/165.17 = 77.73/x
  3. Step 3: Cross multiply
    119.78x = 165.17 × 77.73
  4. Step 4: Simplify right side
    119.78x = 12,838.24
  5. Step 5: Solve for x
    x = 12,838.24/119.78
  6. Step 6: Final answer
    x = 107.18

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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.