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Finding the Fourth Proportional to 74.49, 102.79 and 41.75

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Solution

The fourth proportional to 74.49, 102.79 and 41.75 is: 57.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.49 : 102.79 = 41.75 : x
  2. Step 2: Convert to fraction form
    74.49/102.79 = 41.75/x
  3. Step 3: Cross multiply
    74.49x = 102.79 × 41.75
  4. Step 4: Simplify right side
    74.49x = 4,291.48
  5. Step 5: Solve for x
    x = 4,291.48/74.49
  6. Step 6: Final answer
    x = 57.61

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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.