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Finding the Fourth Proportional to 45.47, 68.25 and 23.82

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Solution

The fourth proportional to 45.47, 68.25 and 23.82 is: 35.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.47 : 68.25 = 23.82 : x
  2. Step 2: Convert to fraction form
    45.47/68.25 = 23.82/x
  3. Step 3: Cross multiply
    45.47x = 68.25 × 23.82
  4. Step 4: Simplify right side
    45.47x = 1,625.72
  5. Step 5: Solve for x
    x = 1,625.72/45.47
  6. Step 6: Final answer
    x = 35.75

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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.