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Finding the Fourth Proportional to 274.91, 412.42 and 89.82

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Solution

The fourth proportional to 274.91, 412.42 and 89.82 is: 134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.91 : 412.42 = 89.82 : x
  2. Step 2: Convert to fraction form
    274.91/412.42 = 89.82/x
  3. Step 3: Cross multiply
    274.91x = 412.42 × 89.82
  4. Step 4: Simplify right side
    274.91x = 37,043.56
  5. Step 5: Solve for x
    x = 37,043.56/274.91
  6. Step 6: Final answer
    x = 134.75

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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.