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Finding the Fourth Proportional to 137.30, 205.67 and 106.65

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Solution

The fourth proportional to 137.30, 205.67 and 106.65 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.30 : 205.67 = 106.65 : x
  2. Step 2: Convert to fraction form
    137.30/205.67 = 106.65/x
  3. Step 3: Cross multiply
    137.30x = 205.67 × 106.65
  4. Step 4: Simplify right side
    137.30x = 21,934.97
  5. Step 5: Solve for x
    x = 21,934.97/137.30
  6. Step 6: Final answer
    x = 159.77

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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.