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Finding the Fourth Proportional to 156.68, 234.72 and 116

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Solution

The fourth proportional to 156.68, 234.72 and 116 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.68 : 234.72 = 116 : x
  2. Step 2: Convert to fraction form
    156.68/234.72 = 116/x
  3. Step 3: Cross multiply
    156.68x = 234.72 × 116
  4. Step 4: Simplify right side
    156.68x = 27,227.52
  5. Step 5: Solve for x
    x = 27,227.52/156.68
  6. Step 6: Final answer
    x = 173.78

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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.