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Finding the Fourth Proportional to 136.80, 205.22 and 45.47

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Solution

The fourth proportional to 136.80, 205.22 and 45.47 is: 68.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.80 : 205.22 = 45.47 : x
  2. Step 2: Convert to fraction form
    136.80/205.22 = 45.47/x
  3. Step 3: Cross multiply
    136.80x = 205.22 × 45.47
  4. Step 4: Simplify right side
    136.80x = 9,331.35
  5. Step 5: Solve for x
    x = 9,331.35/136.80
  6. Step 6: Final answer
    x = 68.21

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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.