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Finding the Fourth Proportional to 70.22, 105.33 and 24.56

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Solution

The fourth proportional to 70.22, 105.33 and 24.56 is: 36.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.22 : 105.33 = 24.56 : x
  2. Step 2: Convert to fraction form
    70.22/105.33 = 24.56/x
  3. Step 3: Cross multiply
    70.22x = 105.33 × 24.56
  4. Step 4: Simplify right side
    70.22x = 2,586.48
  5. Step 5: Solve for x
    x = 2,586.48/70.22
  6. Step 6: Final answer
    x = 36.83

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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.