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Finding the Fourth Proportional to 105.27, 157.82 and 53.93

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Solution

The fourth proportional to 105.27, 157.82 and 53.93 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.27 : 157.82 = 53.93 : x
  2. Step 2: Convert to fraction form
    105.27/157.82 = 53.93/x
  3. Step 3: Cross multiply
    105.27x = 157.82 × 53.93
  4. Step 4: Simplify right side
    105.27x = 8,511.36
  5. Step 5: Solve for x
    x = 8,511.36/105.27
  6. Step 6: Final answer
    x = 80.86

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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.