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Finding the Fourth Proportional to 43.09, 64.58 and 21.41

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Solution

The fourth proportional to 43.09, 64.58 and 21.41 is: 32.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.09 : 64.58 = 21.41 : x
  2. Step 2: Convert to fraction form
    43.09/64.58 = 21.41/x
  3. Step 3: Cross multiply
    43.09x = 64.58 × 21.41
  4. Step 4: Simplify right side
    43.09x = 1,382.66
  5. Step 5: Solve for x
    x = 1,382.66/43.09
  6. Step 6: Final answer
    x = 32.09

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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.