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Finding the Fourth Proportional to 30.89, 42.65 and 19.98

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Solution

The fourth proportional to 30.89, 42.65 and 19.98 is: 27.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.89 : 42.65 = 19.98 : x
  2. Step 2: Convert to fraction form
    30.89/42.65 = 19.98/x
  3. Step 3: Cross multiply
    30.89x = 42.65 × 19.98
  4. Step 4: Simplify right side
    30.89x = 852.15
  5. Step 5: Solve for x
    x = 852.15/30.89
  6. Step 6: Final answer
    x = 27.59

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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.