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Finding the Fourth Proportional to 119.75, 165.33 and 106.65

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Solution

The fourth proportional to 119.75, 165.33 and 106.65 is: 147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.75 : 165.33 = 106.65 : x
  2. Step 2: Convert to fraction form
    119.75/165.33 = 106.65/x
  3. Step 3: Cross multiply
    119.75x = 165.33 × 106.65
  4. Step 4: Simplify right side
    119.75x = 17,632.44
  5. Step 5: Solve for x
    x = 17,632.44/119.75
  6. Step 6: Final answer
    x = 147.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.