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Finding the Fourth Proportional to 136.28, 204.49 and 43.75

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Solution

The fourth proportional to 136.28, 204.49 and 43.75 is: 65.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.28 : 204.49 = 43.75 : x
  2. Step 2: Convert to fraction form
    136.28/204.49 = 43.75/x
  3. Step 3: Cross multiply
    136.28x = 204.49 × 43.75
  4. Step 4: Simplify right side
    136.28x = 8,946.58
  5. Step 5: Solve for x
    x = 8,946.58/136.28
  6. Step 6: Final answer
    x = 65.65

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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.