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Finding the Fourth Proportional to 25.91, 35.82 and 24.83

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Solution

The fourth proportional to 25.91, 35.82 and 24.83 is: 34.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.91 : 35.82 = 24.83 : x
  2. Step 2: Convert to fraction form
    25.91/35.82 = 24.83/x
  3. Step 3: Cross multiply
    25.91x = 35.82 × 24.83
  4. Step 4: Simplify right side
    25.91x = 889.41
  5. Step 5: Solve for x
    x = 889.41/25.91
  6. Step 6: Final answer
    x = 34.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.