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Finding the Fourth Proportional to 24.79, 37.19 and 11.96

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Solution

The fourth proportional to 24.79, 37.19 and 11.96 is: 17.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.79 : 37.19 = 11.96 : x
  2. Step 2: Convert to fraction form
    24.79/37.19 = 11.96/x
  3. Step 3: Cross multiply
    24.79x = 37.19 × 11.96
  4. Step 4: Simplify right side
    24.79x = 444.55
  5. Step 5: Solve for x
    x = 444.55/24.79
  6. Step 6: Final answer
    x = 17.93

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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.