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Finding the Fourth Proportional to 189.64, 284.41 and 81.41

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Solution

The fourth proportional to 189.64, 284.41 and 81.41 is: 122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.64 : 284.41 = 81.41 : x
  2. Step 2: Convert to fraction form
    189.64/284.41 = 81.41/x
  3. Step 3: Cross multiply
    189.64x = 284.41 × 81.41
  4. Step 4: Simplify right side
    189.64x = 23,153.82
  5. Step 5: Solve for x
    x = 23,153.82/189.64
  6. Step 6: Final answer
    x = 122.09

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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.