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Finding the Fourth Proportional to 136.27, 204.59 and 81.53

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Solution

The fourth proportional to 136.27, 204.59 and 81.53 is: 122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.27 : 204.59 = 81.53 : x
  2. Step 2: Convert to fraction form
    136.27/204.59 = 81.53/x
  3. Step 3: Cross multiply
    136.27x = 204.59 × 81.53
  4. Step 4: Simplify right side
    136.27x = 16,680.22
  5. Step 5: Solve for x
    x = 16,680.22/136.27
  6. Step 6: Final answer
    x = 122.41

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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.