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Finding the Fourth Proportional to 74.82, 102.79 and 67.15

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Solution

The fourth proportional to 74.82, 102.79 and 67.15 is: 92.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.82 : 102.79 = 67.15 : x
  2. Step 2: Convert to fraction form
    74.82/102.79 = 67.15/x
  3. Step 3: Cross multiply
    74.82x = 102.79 × 67.15
  4. Step 4: Simplify right side
    74.82x = 6,902.35
  5. Step 5: Solve for x
    x = 6,902.35/74.82
  6. Step 6: Final answer
    x = 92.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.