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Finding the Fourth Proportional to 30.94, 42.60 and 27.70

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Solution

The fourth proportional to 30.94, 42.60 and 27.70 is: 38.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.94 : 42.60 = 27.70 : x
  2. Step 2: Convert to fraction form
    30.94/42.60 = 27.70/x
  3. Step 3: Cross multiply
    30.94x = 42.60 × 27.70
  4. Step 4: Simplify right side
    30.94x = 1,180.02
  5. Step 5: Solve for x
    x = 1,180.02/30.94
  6. Step 6: Final answer
    x = 38.14

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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.