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Finding the Fourth Proportional to 119.03, 164.16 and 116.21

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Solution

The fourth proportional to 119.03, 164.16 and 116.21 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.03 : 164.16 = 116.21 : x
  2. Step 2: Convert to fraction form
    119.03/164.16 = 116.21/x
  3. Step 3: Cross multiply
    119.03x = 164.16 × 116.21
  4. Step 4: Simplify right side
    119.03x = 19,077.73
  5. Step 5: Solve for x
    x = 19,077.73/119.03
  6. Step 6: Final answer
    x = 160.28

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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.