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Finding the Fourth Proportional to 136.04, 203.70 and 81.90

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Solution

The fourth proportional to 136.04, 203.70 and 81.90 is: 122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.04 : 203.70 = 81.90 : x
  2. Step 2: Convert to fraction form
    136.04/203.70 = 81.90/x
  3. Step 3: Cross multiply
    136.04x = 203.70 × 81.90
  4. Step 4: Simplify right side
    136.04x = 16,683.03
  5. Step 5: Solve for x
    x = 16,683.03/136.04
  6. Step 6: Final answer
    x = 122.63

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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.