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Finding the Fourth Proportional to 119.93, 165.74 and 104.27

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Solution

The fourth proportional to 119.93, 165.74 and 104.27 is: 144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.93 : 165.74 = 104.27 : x
  2. Step 2: Convert to fraction form
    119.93/165.74 = 104.27/x
  3. Step 3: Cross multiply
    119.93x = 165.74 × 104.27
  4. Step 4: Simplify right side
    119.93x = 17,280.36
  5. Step 5: Solve for x
    x = 17,280.36/119.93
  6. Step 6: Final answer
    x = 144.09

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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.