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Finding the Fourth Proportional to 136.17, 204.23 and 38.65

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Solution

The fourth proportional to 136.17, 204.23 and 38.65 is: 57.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.17 : 204.23 = 38.65 : x
  2. Step 2: Convert to fraction form
    136.17/204.23 = 38.65/x
  3. Step 3: Cross multiply
    136.17x = 204.23 × 38.65
  4. Step 4: Simplify right side
    136.17x = 7,893.24
  5. Step 5: Solve for x
    x = 7,893.24/136.17
  6. Step 6: Final answer
    x = 57.97

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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.