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Finding the Fourth Proportional to 140.16, 193.44 and 81.93

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Solution

The fourth proportional to 140.16, 193.44 and 81.93 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.16 : 193.44 = 81.93 : x
  2. Step 2: Convert to fraction form
    140.16/193.44 = 81.93/x
  3. Step 3: Cross multiply
    140.16x = 193.44 × 81.93
  4. Step 4: Simplify right side
    140.16x = 15,848.54
  5. Step 5: Solve for x
    x = 15,848.54/140.16
  6. Step 6: Final answer
    x = 113.07

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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.