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Finding the Fourth Proportional to 30.85, 42.75 and 30.27

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Solution

The fourth proportional to 30.85, 42.75 and 30.27 is: 41.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.85 : 42.75 = 30.27 : x
  2. Step 2: Convert to fraction form
    30.85/42.75 = 30.27/x
  3. Step 3: Cross multiply
    30.85x = 42.75 × 30.27
  4. Step 4: Simplify right side
    30.85x = 1,294.17
  5. Step 5: Solve for x
    x = 1,294.17/30.85
  6. Step 6: Final answer
    x = 41.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.