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Finding the Fourth Proportional to 136.06, 203.88 and 84.54

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Solution

The fourth proportional to 136.06, 203.88 and 84.54 is: 126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 203.88 = 84.54 : x
  2. Step 2: Convert to fraction form
    136.06/203.88 = 84.54/x
  3. Step 3: Cross multiply
    136.06x = 203.88 × 84.54
  4. Step 4: Simplify right side
    136.06x = 17,236.02
  5. Step 5: Solve for x
    x = 17,236.02/136.06
  6. Step 6: Final answer
    x = 126.68

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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.