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Finding the Fourth Proportional to 136.70, 205.20 and 75.80

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Solution

The fourth proportional to 136.70, 205.20 and 75.80 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.70 : 205.20 = 75.80 : x
  2. Step 2: Convert to fraction form
    136.70/205.20 = 75.80/x
  3. Step 3: Cross multiply
    136.70x = 205.20 × 75.80
  4. Step 4: Simplify right side
    136.70x = 15,554.16
  5. Step 5: Solve for x
    x = 15,554.16/136.70
  6. Step 6: Final answer
    x = 113.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.