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Finding the Fourth Proportional to 119.51, 164.94 and 75.84

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Solution

The fourth proportional to 119.51, 164.94 and 75.84 is: 104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.51 : 164.94 = 75.84 : x
  2. Step 2: Convert to fraction form
    119.51/164.94 = 75.84/x
  3. Step 3: Cross multiply
    119.51x = 164.94 × 75.84
  4. Step 4: Simplify right side
    119.51x = 12,509.05
  5. Step 5: Solve for x
    x = 12,509.05/119.51
  6. Step 6: Final answer
    x = 104.67

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