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Finding the Fourth Proportional to 113.89, 157.18 and 67.27

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Solution

The fourth proportional to 113.89, 157.18 and 67.27 is: 92.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.89 : 157.18 = 67.27 : x
  2. Step 2: Convert to fraction form
    113.89/157.18 = 67.27/x
  3. Step 3: Cross multiply
    113.89x = 157.18 × 67.27
  4. Step 4: Simplify right side
    113.89x = 10,573.50
  5. Step 5: Solve for x
    x = 10,573.50/113.89
  6. Step 6: Final answer
    x = 92.84

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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.