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Finding the Fourth Proportional to 24.83, 37.23 and 7.71

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Solution

The fourth proportional to 24.83, 37.23 and 7.71 is: 11.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.83 : 37.23 = 7.71 : x
  2. Step 2: Convert to fraction form
    24.83/37.23 = 7.71/x
  3. Step 3: Cross multiply
    24.83x = 37.23 × 7.71
  4. Step 4: Simplify right side
    24.83x = 287.21
  5. Step 5: Solve for x
    x = 287.21/24.83
  6. Step 6: Final answer
    x = 11.57

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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.