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Finding the Fourth Proportional to 54.85, 82.30 and 34.57

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Solution

The fourth proportional to 54.85, 82.30 and 34.57 is: 51.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.85 : 82.30 = 34.57 : x
  2. Step 2: Convert to fraction form
    54.85/82.30 = 34.57/x
  3. Step 3: Cross multiply
    54.85x = 82.30 × 34.57
  4. Step 4: Simplify right side
    54.85x = 2,845.11
  5. Step 5: Solve for x
    x = 2,845.11/54.85
  6. Step 6: Final answer
    x = 51.87

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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.