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Finding the Fourth Proportional to 119.31, 164.62 and 75.04

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Solution

The fourth proportional to 119.31, 164.62 and 75.04 is: 103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.31 : 164.62 = 75.04 : x
  2. Step 2: Convert to fraction form
    119.31/164.62 = 75.04/x
  3. Step 3: Cross multiply
    119.31x = 164.62 × 75.04
  4. Step 4: Simplify right side
    119.31x = 12,353.08
  5. Step 5: Solve for x
    x = 12,353.08/119.31
  6. Step 6: Final answer
    x = 103.54

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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.