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Finding the Fourth Proportional to 119.86, 165.42 and 70.73

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Solution

The fourth proportional to 119.86, 165.42 and 70.73 is: 97.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.86 : 165.42 = 70.73 : x
  2. Step 2: Convert to fraction form
    119.86/165.42 = 70.73/x
  3. Step 3: Cross multiply
    119.86x = 165.42 × 70.73
  4. Step 4: Simplify right side
    119.86x = 11,698.98
  5. Step 5: Solve for x
    x = 11,698.98/119.86
  6. Step 6: Final answer
    x = 97.61

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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.