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Finding the Fourth Proportional to 119.19, 164.46 and 75.54

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Solution

The fourth proportional to 119.19, 164.46 and 75.54 is: 104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.19 : 164.46 = 75.54 : x
  2. Step 2: Convert to fraction form
    119.19/164.46 = 75.54/x
  3. Step 3: Cross multiply
    119.19x = 164.46 × 75.54
  4. Step 4: Simplify right side
    119.19x = 12,423.31
  5. Step 5: Solve for x
    x = 12,423.31/119.19
  6. Step 6: Final answer
    x = 104.23

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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.