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Finding the Fourth Proportional to 24.56, 33.90 and 16.37

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Solution

The fourth proportional to 24.56, 33.90 and 16.37 is: 22.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.56 : 33.90 = 16.37 : x
  2. Step 2: Convert to fraction form
    24.56/33.90 = 16.37/x
  3. Step 3: Cross multiply
    24.56x = 33.90 × 16.37
  4. Step 4: Simplify right side
    24.56x = 554.94
  5. Step 5: Solve for x
    x = 554.94/24.56
  6. Step 6: Final answer
    x = 22.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.