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Finding the Fourth Proportional to 24.83, 33.80 and 24.69

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Solution

The fourth proportional to 24.83, 33.80 and 24.69 is: 33.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.83 : 33.80 = 24.69 : x
  2. Step 2: Convert to fraction form
    24.83/33.80 = 24.69/x
  3. Step 3: Cross multiply
    24.83x = 33.80 × 24.69
  4. Step 4: Simplify right side
    24.83x = 834.58
  5. Step 5: Solve for x
    x = 834.58/24.83
  6. Step 6: Final answer
    x = 33.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.