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Finding the Fourth Proportional to 120.09, 165.33 and 109.02

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Solution

The fourth proportional to 120.09, 165.33 and 109.02 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 165.33 = 109.02 : x
  2. Step 2: Convert to fraction form
    120.09/165.33 = 109.02/x
  3. Step 3: Cross multiply
    120.09x = 165.33 × 109.02
  4. Step 4: Simplify right side
    120.09x = 18,024.28
  5. Step 5: Solve for x
    x = 18,024.28/120.09
  6. Step 6: Final answer
    x = 150.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.