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Finding the Fourth Proportional to 189.44, 284.08 and 81.16

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Solution

The fourth proportional to 189.44, 284.08 and 81.16 is: 121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.44 : 284.08 = 81.16 : x
  2. Step 2: Convert to fraction form
    189.44/284.08 = 81.16/x
  3. Step 3: Cross multiply
    189.44x = 284.08 × 81.16
  4. Step 4: Simplify right side
    189.44x = 23,055.93
  5. Step 5: Solve for x
    x = 23,055.93/189.44
  6. Step 6: Final answer
    x = 121.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.