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Finding the Fourth Proportional to 381.64, 572.37 and 107.70

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Solution

The fourth proportional to 381.64, 572.37 and 107.70 is: 161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 572.37 = 107.70 : x
  2. Step 2: Convert to fraction form
    381.64/572.37 = 107.70/x
  3. Step 3: Cross multiply
    381.64x = 572.37 × 107.70
  4. Step 4: Simplify right side
    381.64x = 61,646.53
  5. Step 5: Solve for x
    x = 61,646.53/381.64
  6. Step 6: Final answer
    x = 161.53

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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.