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Finding the Fourth Proportional to 136.78, 205.19 and 45.49

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Solution

The fourth proportional to 136.78, 205.19 and 45.49 is: 68.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.78 : 205.19 = 45.49 : x
  2. Step 2: Convert to fraction form
    136.78/205.19 = 45.49/x
  3. Step 3: Cross multiply
    136.78x = 205.19 × 45.49
  4. Step 4: Simplify right side
    136.78x = 9,334.09
  5. Step 5: Solve for x
    x = 9,334.09/136.78
  6. Step 6: Final answer
    x = 68.24

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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.