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Finding the Fourth Proportional to 136.31, 204.57 and 109.43

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Solution

The fourth proportional to 136.31, 204.57 and 109.43 is: 164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.31 : 204.57 = 109.43 : x
  2. Step 2: Convert to fraction form
    136.31/204.57 = 109.43/x
  3. Step 3: Cross multiply
    136.31x = 204.57 × 109.43
  4. Step 4: Simplify right side
    136.31x = 22,385.07
  5. Step 5: Solve for x
    x = 22,385.07/136.31
  6. Step 6: Final answer
    x = 164.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.