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Finding the Fourth Proportional to 157.21, 235.81 and 54.48

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Solution

The fourth proportional to 157.21, 235.81 and 54.48 is: 81.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.21 : 235.81 = 54.48 : x
  2. Step 2: Convert to fraction form
    157.21/235.81 = 54.48/x
  3. Step 3: Cross multiply
    157.21x = 235.81 × 54.48
  4. Step 4: Simplify right side
    157.21x = 12,847.88
  5. Step 5: Solve for x
    x = 12,847.88/157.21
  6. Step 6: Final answer
    x = 81.73

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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.