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Finding the Fourth Proportional to 24.43, 36.61 and 18.46

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Solution

The fourth proportional to 24.43, 36.61 and 18.46 is: 27.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.43 : 36.61 = 18.46 : x
  2. Step 2: Convert to fraction form
    24.43/36.61 = 18.46/x
  3. Step 3: Cross multiply
    24.43x = 36.61 × 18.46
  4. Step 4: Simplify right side
    24.43x = 675.82
  5. Step 5: Solve for x
    x = 675.82/24.43
  6. Step 6: Final answer
    x = 27.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.