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Finding the Fourth Proportional to 189.54, 284.25 and 67.74

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Solution

The fourth proportional to 189.54, 284.25 and 67.74 is: 101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.54 : 284.25 = 67.74 : x
  2. Step 2: Convert to fraction form
    189.54/284.25 = 67.74/x
  3. Step 3: Cross multiply
    189.54x = 284.25 × 67.74
  4. Step 4: Simplify right side
    189.54x = 19,255.10
  5. Step 5: Solve for x
    x = 19,255.10/189.54
  6. Step 6: Final answer
    x = 101.59

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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.