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Finding the Fourth Proportional to 43.08, 59.46 and 32.19

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Solution

The fourth proportional to 43.08, 59.46 and 32.19 is: 44.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.08 : 59.46 = 32.19 : x
  2. Step 2: Convert to fraction form
    43.08/59.46 = 32.19/x
  3. Step 3: Cross multiply
    43.08x = 59.46 × 32.19
  4. Step 4: Simplify right side
    43.08x = 1,914.02
  5. Step 5: Solve for x
    x = 1,914.02/43.08
  6. Step 6: Final answer
    x = 44.43

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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.