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Finding the Fourth Proportional to 122.91, 184.46 and 116.57

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Solution

The fourth proportional to 122.91, 184.46 and 116.57 is: 174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 184.46 = 116.57 : x
  2. Step 2: Convert to fraction form
    122.91/184.46 = 116.57/x
  3. Step 3: Cross multiply
    122.91x = 184.46 × 116.57
  4. Step 4: Simplify right side
    122.91x = 21,502.00
  5. Step 5: Solve for x
    x = 21,502.00/122.91
  6. Step 6: Final answer
    x = 174.94

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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.