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Finding the Fourth Proportional to 119.74, 165.30 and 84.34

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Solution

The fourth proportional to 119.74, 165.30 and 84.34 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.74 : 165.30 = 84.34 : x
  2. Step 2: Convert to fraction form
    119.74/165.30 = 84.34/x
  3. Step 3: Cross multiply
    119.74x = 165.30 × 84.34
  4. Step 4: Simplify right side
    119.74x = 13,940.98
  5. Step 5: Solve for x
    x = 13,940.98/119.74
  6. Step 6: Final answer
    x = 116.43

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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.