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Finding the Fourth Proportional to 140.04, 193.12 and 120.44

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Solution

The fourth proportional to 140.04, 193.12 and 120.44 is: 166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.04 : 193.12 = 120.44 : x
  2. Step 2: Convert to fraction form
    140.04/193.12 = 120.44/x
  3. Step 3: Cross multiply
    140.04x = 193.12 × 120.44
  4. Step 4: Simplify right side
    140.04x = 23,259.37
  5. Step 5: Solve for x
    x = 23,259.37/140.04
  6. Step 6: Final answer
    x = 166.09

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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.