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Finding the Fourth Proportional to 119.66, 165.03 and 97.79

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Solution

The fourth proportional to 119.66, 165.03 and 97.79 is: 134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.66 : 165.03 = 97.79 : x
  2. Step 2: Convert to fraction form
    119.66/165.03 = 97.79/x
  3. Step 3: Cross multiply
    119.66x = 165.03 × 97.79
  4. Step 4: Simplify right side
    119.66x = 16,138.28
  5. Step 5: Solve for x
    x = 16,138.28/119.66
  6. Step 6: Final answer
    x = 134.87

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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.