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Finding the Fourth Proportional to 122.64, 184.61 and 105.05

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Solution

The fourth proportional to 122.64, 184.61 and 105.05 is: 158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.64 : 184.61 = 105.05 : x
  2. Step 2: Convert to fraction form
    122.64/184.61 = 105.05/x
  3. Step 3: Cross multiply
    122.64x = 184.61 × 105.05
  4. Step 4: Simplify right side
    122.64x = 19,391.83
  5. Step 5: Solve for x
    x = 19,391.83/122.64
  6. Step 6: Final answer
    x = 158.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.