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Finding the Fourth Proportional to 24.80, 33.98 and 24.68

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Solution

The fourth proportional to 24.80, 33.98 and 24.68 is: 33.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.80 : 33.98 = 24.68 : x
  2. Step 2: Convert to fraction form
    24.80/33.98 = 24.68/x
  3. Step 3: Cross multiply
    24.80x = 33.98 × 24.68
  4. Step 4: Simplify right side
    24.80x = 838.63
  5. Step 5: Solve for x
    x = 838.63/24.80
  6. Step 6: Final answer
    x = 33.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.