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Finding the Fourth Proportional to 136.38, 204.81 and 130.38

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Solution

The fourth proportional to 136.38, 204.81 and 130.38 is: 195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.38 : 204.81 = 130.38 : x
  2. Step 2: Convert to fraction form
    136.38/204.81 = 130.38/x
  3. Step 3: Cross multiply
    136.38x = 204.81 × 130.38
  4. Step 4: Simplify right side
    136.38x = 26,703.13
  5. Step 5: Solve for x
    x = 26,703.13/136.38
  6. Step 6: Final answer
    x = 195.80

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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.