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Finding the Fourth Proportional to 74.56, 102.24 and 71.44

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Solution

The fourth proportional to 74.56, 102.24 and 71.44 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.56 : 102.24 = 71.44 : x
  2. Step 2: Convert to fraction form
    74.56/102.24 = 71.44/x
  3. Step 3: Cross multiply
    74.56x = 102.24 × 71.44
  4. Step 4: Simplify right side
    74.56x = 7,304.03
  5. Step 5: Solve for x
    x = 7,304.03/74.56
  6. Step 6: Final answer
    x = 97.96

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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.