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Finding the Fourth Proportional to 45.23, 67.82 and 16.34

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Solution

The fourth proportional to 45.23, 67.82 and 16.34 is: 24.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.23 : 67.82 = 16.34 : x
  2. Step 2: Convert to fraction form
    45.23/67.82 = 16.34/x
  3. Step 3: Cross multiply
    45.23x = 67.82 × 16.34
  4. Step 4: Simplify right side
    45.23x = 1,107.76
  5. Step 5: Solve for x
    x = 1,107.76/45.23
  6. Step 6: Final answer
    x = 24.49

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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.