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Finding the Fourth Proportional to 45.82, 68.34 and 41.23

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Solution

The fourth proportional to 45.82, 68.34 and 41.23 is: 61.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.82 : 68.34 = 41.23 : x
  2. Step 2: Convert to fraction form
    45.82/68.34 = 41.23/x
  3. Step 3: Cross multiply
    45.82x = 68.34 × 41.23
  4. Step 4: Simplify right side
    45.82x = 2,817.66
  5. Step 5: Solve for x
    x = 2,817.66/45.82
  6. Step 6: Final answer
    x = 61.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.