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Finding the Fourth Proportional to 87.24, 120.48 and 73.44

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Solution

The fourth proportional to 87.24, 120.48 and 73.44 is: 101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.24 : 120.48 = 73.44 : x
  2. Step 2: Convert to fraction form
    87.24/120.48 = 73.44/x
  3. Step 3: Cross multiply
    87.24x = 120.48 × 73.44
  4. Step 4: Simplify right side
    87.24x = 8,848.05
  5. Step 5: Solve for x
    x = 8,848.05/87.24
  6. Step 6: Final answer
    x = 101.42

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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.