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Finding the Fourth Proportional to 380.53, 570.81 and 106.65

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Solution

The fourth proportional to 380.53, 570.81 and 106.65 is: 159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.53 : 570.81 = 106.65 : x
  2. Step 2: Convert to fraction form
    380.53/570.81 = 106.65/x
  3. Step 3: Cross multiply
    380.53x = 570.81 × 106.65
  4. Step 4: Simplify right side
    380.53x = 60,874.03
  5. Step 5: Solve for x
    x = 60,874.03/380.53
  6. Step 6: Final answer
    x = 159.97

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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.