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Finding the Fourth Proportional to 137.69, 205.87 and 118.65

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Solution

The fourth proportional to 137.69, 205.87 and 118.65 is: 177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.69 : 205.87 = 118.65 : x
  2. Step 2: Convert to fraction form
    137.69/205.87 = 118.65/x
  3. Step 3: Cross multiply
    137.69x = 205.87 × 118.65
  4. Step 4: Simplify right side
    137.69x = 24,425.88
  5. Step 5: Solve for x
    x = 24,425.88/137.69
  6. Step 6: Final answer
    x = 177.40

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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.