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Finding the Fourth Proportional to 254.12, 381.14 and 91.88

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Solution

The fourth proportional to 254.12, 381.14 and 91.88 is: 137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.12 : 381.14 = 91.88 : x
  2. Step 2: Convert to fraction form
    254.12/381.14 = 91.88/x
  3. Step 3: Cross multiply
    254.12x = 381.14 × 91.88
  4. Step 4: Simplify right side
    254.12x = 35,019.14
  5. Step 5: Solve for x
    x = 35,019.14/254.12
  6. Step 6: Final answer
    x = 137.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.