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Finding the Fourth Proportional to 109.04, 149.49 and 107.09

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Solution

The fourth proportional to 109.04, 149.49 and 107.09 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.04 : 149.49 = 107.09 : x
  2. Step 2: Convert to fraction form
    109.04/149.49 = 107.09/x
  3. Step 3: Cross multiply
    109.04x = 149.49 × 107.09
  4. Step 4: Simplify right side
    109.04x = 16,008.40
  5. Step 5: Solve for x
    x = 16,008.40/109.04
  6. Step 6: Final answer
    x = 146.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.