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Finding the Fourth Proportional to 381.68, 572.54 and 107.77

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Solution

The fourth proportional to 381.68, 572.54 and 107.77 is: 161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 572.54 = 107.77 : x
  2. Step 2: Convert to fraction form
    381.68/572.54 = 107.77/x
  3. Step 3: Cross multiply
    381.68x = 572.54 × 107.77
  4. Step 4: Simplify right side
    381.68x = 61,702.64
  5. Step 5: Solve for x
    x = 61,702.64/381.68
  6. Step 6: Final answer
    x = 161.66

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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.