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Finding the Fourth Proportional to 45.49, 62.44 and 41.84

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Solution

The fourth proportional to 45.49, 62.44 and 41.84 is: 57.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.49 : 62.44 = 41.84 : x
  2. Step 2: Convert to fraction form
    45.49/62.44 = 41.84/x
  3. Step 3: Cross multiply
    45.49x = 62.44 × 41.84
  4. Step 4: Simplify right side
    45.49x = 2,612.49
  5. Step 5: Solve for x
    x = 2,612.49/45.49
  6. Step 6: Final answer
    x = 57.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.