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Finding the Fourth Proportional to 74.46, 102.75 and 41.26

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Solution

The fourth proportional to 74.46, 102.75 and 41.26 is: 56.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.46 : 102.75 = 41.26 : x
  2. Step 2: Convert to fraction form
    74.46/102.75 = 41.26/x
  3. Step 3: Cross multiply
    74.46x = 102.75 × 41.26
  4. Step 4: Simplify right side
    74.46x = 4,239.44
  5. Step 5: Solve for x
    x = 4,239.44/74.46
  6. Step 6: Final answer
    x = 56.94

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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.