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Finding the Fourth Proportional to 137.97, 206.93 and 46.65

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Solution

The fourth proportional to 137.97, 206.93 and 46.65 is: 69.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.97 : 206.93 = 46.65 : x
  2. Step 2: Convert to fraction form
    137.97/206.93 = 46.65/x
  3. Step 3: Cross multiply
    137.97x = 206.93 × 46.65
  4. Step 4: Simplify right side
    137.97x = 9,653.05
  5. Step 5: Solve for x
    x = 9,653.05/137.97
  6. Step 6: Final answer
    x = 69.96

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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.