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Finding the Fourth Proportional to 140.03, 193.25 and 81.02

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Solution

The fourth proportional to 140.03, 193.25 and 81.02 is: 111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.03 : 193.25 = 81.02 : x
  2. Step 2: Convert to fraction form
    140.03/193.25 = 81.02/x
  3. Step 3: Cross multiply
    140.03x = 193.25 × 81.02
  4. Step 4: Simplify right side
    140.03x = 15,656.63
  5. Step 5: Solve for x
    x = 15,656.63/140.03
  6. Step 6: Final answer
    x = 111.81

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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.