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Finding the Fourth Proportional to 30.81, 42.50 and 19.15

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Solution

The fourth proportional to 30.81, 42.50 and 19.15 is: 26.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.81 : 42.50 = 19.15 : x
  2. Step 2: Convert to fraction form
    30.81/42.50 = 19.15/x
  3. Step 3: Cross multiply
    30.81x = 42.50 × 19.15
  4. Step 4: Simplify right side
    30.81x = 813.69
  5. Step 5: Solve for x
    x = 813.69/30.81
  6. Step 6: Final answer
    x = 26.41

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