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Finding the Fourth Proportional to 30.90, 42.61 and 27.97

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Solution

The fourth proportional to 30.90, 42.61 and 27.97 is: 38.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.90 : 42.61 = 27.97 : x
  2. Step 2: Convert to fraction form
    30.90/42.61 = 27.97/x
  3. Step 3: Cross multiply
    30.90x = 42.61 × 27.97
  4. Step 4: Simplify right side
    30.90x = 1,191.80
  5. Step 5: Solve for x
    x = 1,191.80/30.90
  6. Step 6: Final answer
    x = 38.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.