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Finding the Fourth Proportional to 109.41, 165.04 and 107.16

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Solution

The fourth proportional to 109.41, 165.04 and 107.16 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.41 : 165.04 = 107.16 : x
  2. Step 2: Convert to fraction form
    109.41/165.04 = 107.16/x
  3. Step 3: Cross multiply
    109.41x = 165.04 × 107.16
  4. Step 4: Simplify right side
    109.41x = 17,685.69
  5. Step 5: Solve for x
    x = 17,685.69/109.41
  6. Step 6: Final answer
    x = 161.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.