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Finding the Fourth Proportional to 119.62, 165.18 and 109.36

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Solution

The fourth proportional to 119.62, 165.18 and 109.36 is: 151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.62 : 165.18 = 109.36 : x
  2. Step 2: Convert to fraction form
    119.62/165.18 = 109.36/x
  3. Step 3: Cross multiply
    119.62x = 165.18 × 109.36
  4. Step 4: Simplify right side
    119.62x = 18,064.08
  5. Step 5: Solve for x
    x = 18,064.08/119.62
  6. Step 6: Final answer
    x = 151.01

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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.