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Finding the Fourth Proportional to 136.22, 204.14 and 71.09

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Solution

The fourth proportional to 136.22, 204.14 and 71.09 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.22 : 204.14 = 71.09 : x
  2. Step 2: Convert to fraction form
    136.22/204.14 = 71.09/x
  3. Step 3: Cross multiply
    136.22x = 204.14 × 71.09
  4. Step 4: Simplify right side
    136.22x = 14,512.31
  5. Step 5: Solve for x
    x = 14,512.31/136.22
  6. Step 6: Final answer
    x = 106.54

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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.