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Finding the Fourth Proportional to 16.67, 24.97 and 11.58

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Solution

The fourth proportional to 16.67, 24.97 and 11.58 is: 17.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.67 : 24.97 = 11.58 : x
  2. Step 2: Convert to fraction form
    16.67/24.97 = 11.58/x
  3. Step 3: Cross multiply
    16.67x = 24.97 × 11.58
  4. Step 4: Simplify right side
    16.67x = 289.15
  5. Step 5: Solve for x
    x = 289.15/16.67
  6. Step 6: Final answer
    x = 17.35

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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.