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Finding the Fourth Proportional to 43.55, 65.22 and 32.09

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Solution

The fourth proportional to 43.55, 65.22 and 32.09 is: 48.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.55 : 65.22 = 32.09 : x
  2. Step 2: Convert to fraction form
    43.55/65.22 = 32.09/x
  3. Step 3: Cross multiply
    43.55x = 65.22 × 32.09
  4. Step 4: Simplify right side
    43.55x = 2,092.58
  5. Step 5: Solve for x
    x = 2,092.58/43.55
  6. Step 6: Final answer
    x = 48.06

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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.