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Finding the Fourth Proportional to 24.54, 34.03 and 23.80

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Solution

The fourth proportional to 24.54, 34.03 and 23.80 is: 33.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.54 : 34.03 = 23.80 : x
  2. Step 2: Convert to fraction form
    24.54/34.03 = 23.80/x
  3. Step 3: Cross multiply
    24.54x = 34.03 × 23.80
  4. Step 4: Simplify right side
    24.54x = 809.91
  5. Step 5: Solve for x
    x = 809.91/24.54
  6. Step 6: Final answer
    x = 33.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.