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Finding the Fourth Proportional to 136.85, 189.34 and 119.40

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Solution

The fourth proportional to 136.85, 189.34 and 119.40 is: 165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.85 : 189.34 = 119.40 : x
  2. Step 2: Convert to fraction form
    136.85/189.34 = 119.40/x
  3. Step 3: Cross multiply
    136.85x = 189.34 × 119.40
  4. Step 4: Simplify right side
    136.85x = 22,606.25
  5. Step 5: Solve for x
    x = 22,606.25/136.85
  6. Step 6: Final answer
    x = 165.20

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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.