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Finding the Fourth Proportional to 43.23, 64.82 and 25.23

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Solution

The fourth proportional to 43.23, 64.82 and 25.23 is: 37.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.23 : 64.82 = 25.23 : x
  2. Step 2: Convert to fraction form
    43.23/64.82 = 25.23/x
  3. Step 3: Cross multiply
    43.23x = 64.82 × 25.23
  4. Step 4: Simplify right side
    43.23x = 1,635.28
  5. Step 5: Solve for x
    x = 1,635.28/43.23
  6. Step 6: Final answer
    x = 37.83

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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.