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Finding the Fourth Proportional to 119.54, 164.74 and 82.63

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Solution

The fourth proportional to 119.54, 164.74 and 82.63 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.54 : 164.74 = 82.63 : x
  2. Step 2: Convert to fraction form
    119.54/164.74 = 82.63/x
  3. Step 3: Cross multiply
    119.54x = 164.74 × 82.63
  4. Step 4: Simplify right side
    119.54x = 13,612.26
  5. Step 5: Solve for x
    x = 13,612.26/119.54
  6. Step 6: Final answer
    x = 113.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.