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Finding the Fourth Proportional to 119.11, 165.01 and 116.27

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Solution

The fourth proportional to 119.11, 165.01 and 116.27 is: 161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.11 : 165.01 = 116.27 : x
  2. Step 2: Convert to fraction form
    119.11/165.01 = 116.27/x
  3. Step 3: Cross multiply
    119.11x = 165.01 × 116.27
  4. Step 4: Simplify right side
    119.11x = 19,185.71
  5. Step 5: Solve for x
    x = 19,185.71/119.11
  6. Step 6: Final answer
    x = 161.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.