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Finding the Fourth Proportional to 30.75, 42.41 and 18.46

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Solution

The fourth proportional to 30.75, 42.41 and 18.46 is: 25.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 42.41 = 18.46 : x
  2. Step 2: Convert to fraction form
    30.75/42.41 = 18.46/x
  3. Step 3: Cross multiply
    30.75x = 42.41 × 18.46
  4. Step 4: Simplify right side
    30.75x = 782.58
  5. Step 5: Solve for x
    x = 782.58/30.75
  6. Step 6: Final answer
    x = 25.45

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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.