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Finding the Fourth Proportional to 15.94, 23.90 and 7.91

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Solution

The fourth proportional to 15.94, 23.90 and 7.91 is: 11.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.94 : 23.90 = 7.91 : x
  2. Step 2: Convert to fraction form
    15.94/23.90 = 7.91/x
  3. Step 3: Cross multiply
    15.94x = 23.90 × 7.91
  4. Step 4: Simplify right side
    15.94x = 189.03
  5. Step 5: Solve for x
    x = 189.03/15.94
  6. Step 6: Final answer
    x = 11.86

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Why These Related Problems?

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