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Finding the Fourth Proportional to 119.46, 164.76 and 82.61

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Solution

The fourth proportional to 119.46, 164.76 and 82.61 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.46 : 164.76 = 82.61 : x
  2. Step 2: Convert to fraction form
    119.46/164.76 = 82.61/x
  3. Step 3: Cross multiply
    119.46x = 164.76 × 82.61
  4. Step 4: Simplify right side
    119.46x = 13,610.00
  5. Step 5: Solve for x
    x = 13,610.00/119.46
  6. Step 6: Final answer
    x = 113.93

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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.