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Finding the Fourth Proportional to 74.24, 102.87 and 72.56

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Solution

The fourth proportional to 74.24, 102.87 and 72.56 is: 100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.24 : 102.87 = 72.56 : x
  2. Step 2: Convert to fraction form
    74.24/102.87 = 72.56/x
  3. Step 3: Cross multiply
    74.24x = 102.87 × 72.56
  4. Step 4: Simplify right side
    74.24x = 7,463.88
  5. Step 5: Solve for x
    x = 7,463.88/74.24
  6. Step 6: Final answer
    x = 100.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.