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Finding the Fourth Proportional to 24.45, 36.80 and 18.48

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Solution

The fourth proportional to 24.45, 36.80 and 18.48 is: 27.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.45 : 36.80 = 18.48 : x
  2. Step 2: Convert to fraction form
    24.45/36.80 = 18.48/x
  3. Step 3: Cross multiply
    24.45x = 36.80 × 18.48
  4. Step 4: Simplify right side
    24.45x = 680.06
  5. Step 5: Solve for x
    x = 680.06/24.45
  6. Step 6: Final answer
    x = 27.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.