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Finding the Fourth Proportional to 74.06, 110.98 and 33.51

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Solution

The fourth proportional to 74.06, 110.98 and 33.51 is: 50.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 110.98 = 33.51 : x
  2. Step 2: Convert to fraction form
    74.06/110.98 = 33.51/x
  3. Step 3: Cross multiply
    74.06x = 110.98 × 33.51
  4. Step 4: Simplify right side
    74.06x = 3,718.98
  5. Step 5: Solve for x
    x = 3,718.98/74.06
  6. Step 6: Final answer
    x = 50.22

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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.