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Finding the Fourth Proportional to 73.97, 102.19 and 50.73

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Solution

The fourth proportional to 73.97, 102.19 and 50.73 is: 70.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.97 : 102.19 = 50.73 : x
  2. Step 2: Convert to fraction form
    73.97/102.19 = 50.73/x
  3. Step 3: Cross multiply
    73.97x = 102.19 × 50.73
  4. Step 4: Simplify right side
    73.97x = 5,184.10
  5. Step 5: Solve for x
    x = 5,184.10/73.97
  6. Step 6: Final answer
    x = 70.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.