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Finding the Fourth Proportional to 156.56, 234.92 and 105.23

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Solution

The fourth proportional to 156.56, 234.92 and 105.23 is: 157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.56 : 234.92 = 105.23 : x
  2. Step 2: Convert to fraction form
    156.56/234.92 = 105.23/x
  3. Step 3: Cross multiply
    156.56x = 234.92 × 105.23
  4. Step 4: Simplify right side
    156.56x = 24,720.63
  5. Step 5: Solve for x
    x = 24,720.63/156.56
  6. Step 6: Final answer
    x = 157.90

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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.