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Finding the Fourth Proportional to 74.06, 110.96 and 41.59

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Solution

The fourth proportional to 74.06, 110.96 and 41.59 is: 62.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 110.96 = 41.59 : x
  2. Step 2: Convert to fraction form
    74.06/110.96 = 41.59/x
  3. Step 3: Cross multiply
    74.06x = 110.96 × 41.59
  4. Step 4: Simplify right side
    74.06x = 4,614.83
  5. Step 5: Solve for x
    x = 4,614.83/74.06
  6. Step 6: Final answer
    x = 62.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.