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Finding the Fourth Proportional to 30.89, 46.29 and 16.43

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Solution

The fourth proportional to 30.89, 46.29 and 16.43 is: 24.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.89 : 46.29 = 16.43 : x
  2. Step 2: Convert to fraction form
    30.89/46.29 = 16.43/x
  3. Step 3: Cross multiply
    30.89x = 46.29 × 16.43
  4. Step 4: Simplify right side
    30.89x = 760.31
  5. Step 5: Solve for x
    x = 760.31/30.89
  6. Step 6: Final answer
    x = 24.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.