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Finding the Fourth Proportional to 30.75, 42.43 and 18.30

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Solution

The fourth proportional to 30.75, 42.43 and 18.30 is: 25.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 42.43 = 18.30 : x
  2. Step 2: Convert to fraction form
    30.75/42.43 = 18.30/x
  3. Step 3: Cross multiply
    30.75x = 42.43 × 18.30
  4. Step 4: Simplify right side
    30.75x = 776.38
  5. Step 5: Solve for x
    x = 776.38/30.75
  6. Step 6: Final answer
    x = 25.25

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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.