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Finding the Fourth Proportional to 119.09, 164.28 and 77.62

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Solution

The fourth proportional to 119.09, 164.28 and 77.62 is: 107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.09 : 164.28 = 77.62 : x
  2. Step 2: Convert to fraction form
    119.09/164.28 = 77.62/x
  3. Step 3: Cross multiply
    119.09x = 164.28 × 77.62
  4. Step 4: Simplify right side
    119.09x = 12,751.41
  5. Step 5: Solve for x
    x = 12,751.41/119.09
  6. Step 6: Final answer
    x = 107.08

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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.