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Finding the Fourth Proportional to 119.16, 164.42 and 75.44

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Solution

The fourth proportional to 119.16, 164.42 and 75.44 is: 104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.16 : 164.42 = 75.44 : x
  2. Step 2: Convert to fraction form
    119.16/164.42 = 75.44/x
  3. Step 3: Cross multiply
    119.16x = 164.42 × 75.44
  4. Step 4: Simplify right side
    119.16x = 12,403.84
  5. Step 5: Solve for x
    x = 12,403.84/119.16
  6. Step 6: Final answer
    x = 104.09

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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.