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Finding the Fourth Proportional to 120.54, 165.74 and 119.76

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Solution

The fourth proportional to 120.54, 165.74 and 119.76 is: 164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.54 : 165.74 = 119.76 : x
  2. Step 2: Convert to fraction form
    120.54/165.74 = 119.76/x
  3. Step 3: Cross multiply
    120.54x = 165.74 × 119.76
  4. Step 4: Simplify right side
    120.54x = 19,849.02
  5. Step 5: Solve for x
    x = 19,849.02/120.54
  6. Step 6: Final answer
    x = 164.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.