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Finding the Fourth Proportional to 140.73, 193.14 and 132.99

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Solution

The fourth proportional to 140.73, 193.14 and 132.99 is: 182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 193.14 = 132.99 : x
  2. Step 2: Convert to fraction form
    140.73/193.14 = 132.99/x
  3. Step 3: Cross multiply
    140.73x = 193.14 × 132.99
  4. Step 4: Simplify right side
    140.73x = 25,685.69
  5. Step 5: Solve for x
    x = 25,685.69/140.73
  6. Step 6: Final answer
    x = 182.52

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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.