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Finding the Fourth Proportional to 157.21, 235.85 and 80.19

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Solution

The fourth proportional to 157.21, 235.85 and 80.19 is: 120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.21 : 235.85 = 80.19 : x
  2. Step 2: Convert to fraction form
    157.21/235.85 = 80.19/x
  3. Step 3: Cross multiply
    157.21x = 235.85 × 80.19
  4. Step 4: Simplify right side
    157.21x = 18,912.41
  5. Step 5: Solve for x
    x = 18,912.41/157.21
  6. Step 6: Final answer
    x = 120.30

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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.