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Finding the Fourth Proportional to 140.36, 193.54 and 120.75

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Solution

The fourth proportional to 140.36, 193.54 and 120.75 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.36 : 193.54 = 120.75 : x
  2. Step 2: Convert to fraction form
    140.36/193.54 = 120.75/x
  3. Step 3: Cross multiply
    140.36x = 193.54 × 120.75
  4. Step 4: Simplify right side
    140.36x = 23,369.96
  5. Step 5: Solve for x
    x = 23,369.96/140.36
  6. Step 6: Final answer
    x = 166.50

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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.