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Finding the Fourth Proportional to 367.71, 551.49 and 107.65

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Solution

The fourth proportional to 367.71, 551.49 and 107.65 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.71 : 551.49 = 107.65 : x
  2. Step 2: Convert to fraction form
    367.71/551.49 = 107.65/x
  3. Step 3: Cross multiply
    367.71x = 551.49 × 107.65
  4. Step 4: Simplify right side
    367.71x = 59,364.60
  5. Step 5: Solve for x
    x = 59,364.60/367.71
  6. Step 6: Final answer
    x = 161.45

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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.