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Finding the Fourth Proportional to 189.93, 284.93 and 81.74

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Solution

The fourth proportional to 189.93, 284.93 and 81.74 is: 122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.93 : 284.93 = 81.74 : x
  2. Step 2: Convert to fraction form
    189.93/284.93 = 81.74/x
  3. Step 3: Cross multiply
    189.93x = 284.93 × 81.74
  4. Step 4: Simplify right side
    189.93x = 23,288.34
  5. Step 5: Solve for x
    x = 23,288.34/189.93
  6. Step 6: Final answer
    x = 122.62

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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.