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Finding the Fourth Proportional to 101.67, 140.25 and 73.99

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Solution

The fourth proportional to 101.67, 140.25 and 73.99 is: 102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.67 : 140.25 = 73.99 : x
  2. Step 2: Convert to fraction form
    101.67/140.25 = 73.99/x
  3. Step 3: Cross multiply
    101.67x = 140.25 × 73.99
  4. Step 4: Simplify right side
    101.67x = 10,376.73
  5. Step 5: Solve for x
    x = 10,376.73/101.67
  6. Step 6: Final answer
    x = 102.07

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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.