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Finding the Fourth Proportional to 43.06, 59.36 and 33.22

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Solution

The fourth proportional to 43.06, 59.36 and 33.22 is: 45.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.06 : 59.36 = 33.22 : x
  2. Step 2: Convert to fraction form
    43.06/59.36 = 33.22/x
  3. Step 3: Cross multiply
    43.06x = 59.36 × 33.22
  4. Step 4: Simplify right side
    43.06x = 1,971.94
  5. Step 5: Solve for x
    x = 1,971.94/43.06
  6. Step 6: Final answer
    x = 45.80

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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.