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Finding the Fourth Proportional to 74.08, 102.21 and 50.78

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Solution

The fourth proportional to 74.08, 102.21 and 50.78 is: 70.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 102.21 = 50.78 : x
  2. Step 2: Convert to fraction form
    74.08/102.21 = 50.78/x
  3. Step 3: Cross multiply
    74.08x = 102.21 × 50.78
  4. Step 4: Simplify right side
    74.08x = 5,190.22
  5. Step 5: Solve for x
    x = 5,190.22/74.08
  6. Step 6: Final answer
    x = 70.06

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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.