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Finding the Fourth Proportional to 140.72, 211.14 and 54.09

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Solution

The fourth proportional to 140.72, 211.14 and 54.09 is: 81.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.72 : 211.14 = 54.09 : x
  2. Step 2: Convert to fraction form
    140.72/211.14 = 54.09/x
  3. Step 3: Cross multiply
    140.72x = 211.14 × 54.09
  4. Step 4: Simplify right side
    140.72x = 11,420.56
  5. Step 5: Solve for x
    x = 11,420.56/140.72
  6. Step 6: Final answer
    x = 81.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.