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Finding the Fourth Proportional to 69.56, 104.23 and 42.43

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Solution

The fourth proportional to 69.56, 104.23 and 42.43 is: 63.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.56 : 104.23 = 42.43 : x
  2. Step 2: Convert to fraction form
    69.56/104.23 = 42.43/x
  3. Step 3: Cross multiply
    69.56x = 104.23 × 42.43
  4. Step 4: Simplify right side
    69.56x = 4,421.75
  5. Step 5: Solve for x
    x = 4,421.75/69.56
  6. Step 6: Final answer
    x = 63.57

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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.