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Finding the Fourth Proportional to 74.09, 102.25 and 41.34

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Solution

The fourth proportional to 74.09, 102.25 and 41.34 is: 57.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.09 : 102.25 = 41.34 : x
  2. Step 2: Convert to fraction form
    74.09/102.25 = 41.34/x
  3. Step 3: Cross multiply
    74.09x = 102.25 × 41.34
  4. Step 4: Simplify right side
    74.09x = 4,227.57
  5. Step 5: Solve for x
    x = 4,227.57/74.09
  6. Step 6: Final answer
    x = 57.06

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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.