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Finding the Fourth Proportional to 136.06, 203.46 and 95.20

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Solution

The fourth proportional to 136.06, 203.46 and 95.20 is: 142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 203.46 = 95.20 : x
  2. Step 2: Convert to fraction form
    136.06/203.46 = 95.20/x
  3. Step 3: Cross multiply
    136.06x = 203.46 × 95.20
  4. Step 4: Simplify right side
    136.06x = 19,369.39
  5. Step 5: Solve for x
    x = 19,369.39/136.06
  6. Step 6: Final answer
    x = 142.36

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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.