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Finding the Fourth Proportional to 254.53, 381.76 and 71.92

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Solution

The fourth proportional to 254.53, 381.76 and 71.92 is: 107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.53 : 381.76 = 71.92 : x
  2. Step 2: Convert to fraction form
    254.53/381.76 = 71.92/x
  3. Step 3: Cross multiply
    254.53x = 381.76 × 71.92
  4. Step 4: Simplify right side
    254.53x = 27,456.18
  5. Step 5: Solve for x
    x = 27,456.18/254.53
  6. Step 6: Final answer
    x = 107.87

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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.