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Finding the Fourth Proportional to 254.15, 381.08 and 89.54

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Solution

The fourth proportional to 254.15, 381.08 and 89.54 is: 134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.15 : 381.08 = 89.54 : x
  2. Step 2: Convert to fraction form
    254.15/381.08 = 89.54/x
  3. Step 3: Cross multiply
    254.15x = 381.08 × 89.54
  4. Step 4: Simplify right side
    254.15x = 34,120.22
  5. Step 5: Solve for x
    x = 34,120.22/254.15
  6. Step 6: Final answer
    x = 134.25

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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.