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Finding the Fourth Proportional to 119.50, 180.11 and 109.26

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Solution

The fourth proportional to 119.50, 180.11 and 109.26 is: 164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.50 : 180.11 = 109.26 : x
  2. Step 2: Convert to fraction form
    119.50/180.11 = 109.26/x
  3. Step 3: Cross multiply
    119.50x = 180.11 × 109.26
  4. Step 4: Simplify right side
    119.50x = 19,678.82
  5. Step 5: Solve for x
    x = 19,678.82/119.50
  6. Step 6: Final answer
    x = 164.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.