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Finding the Fourth Proportional to 122.13, 182.84 and 116.37

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Solution

The fourth proportional to 122.13, 182.84 and 116.37 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.13 : 182.84 = 116.37 : x
  2. Step 2: Convert to fraction form
    122.13/182.84 = 116.37/x
  3. Step 3: Cross multiply
    122.13x = 182.84 × 116.37
  4. Step 4: Simplify right side
    122.13x = 21,276.51
  5. Step 5: Solve for x
    x = 21,276.51/122.13
  6. Step 6: Final answer
    x = 174.21

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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.