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Finding the Fourth Proportional to 136.34, 204.39 and 49.66

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Solution

The fourth proportional to 136.34, 204.39 and 49.66 is: 74.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.34 : 204.39 = 49.66 : x
  2. Step 2: Convert to fraction form
    136.34/204.39 = 49.66/x
  3. Step 3: Cross multiply
    136.34x = 204.39 × 49.66
  4. Step 4: Simplify right side
    136.34x = 10,149.50
  5. Step 5: Solve for x
    x = 10,149.50/136.34
  6. Step 6: Final answer
    x = 74.44

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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.