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Finding the Fourth Proportional to 119.37, 164.81 and 91.69

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Solution

The fourth proportional to 119.37, 164.81 and 91.69 is: 126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.37 : 164.81 = 91.69 : x
  2. Step 2: Convert to fraction form
    119.37/164.81 = 91.69/x
  3. Step 3: Cross multiply
    119.37x = 164.81 × 91.69
  4. Step 4: Simplify right side
    119.37x = 15,111.86
  5. Step 5: Solve for x
    x = 15,111.86/119.37
  6. Step 6: Final answer
    x = 126.59

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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.