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Finding the Fourth Proportional to 159.41, 238.91 and 77.10

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Solution

The fourth proportional to 159.41, 238.91 and 77.10 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.41 : 238.91 = 77.10 : x
  2. Step 2: Convert to fraction form
    159.41/238.91 = 77.10/x
  3. Step 3: Cross multiply
    159.41x = 238.91 × 77.10
  4. Step 4: Simplify right side
    159.41x = 18,418.77
  5. Step 5: Solve for x
    x = 18,418.77/159.41
  6. Step 6: Final answer
    x = 115.54

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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.