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Finding the Fourth Proportional to 137.44, 205.21 and 118.15

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Solution

The fourth proportional to 137.44, 205.21 and 118.15 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 205.21 = 118.15 : x
  2. Step 2: Convert to fraction form
    137.44/205.21 = 118.15/x
  3. Step 3: Cross multiply
    137.44x = 205.21 × 118.15
  4. Step 4: Simplify right side
    137.44x = 24,245.56
  5. Step 5: Solve for x
    x = 24,245.56/137.44
  6. Step 6: Final answer
    x = 176.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.