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Finding the Fourth Proportional to 122.60, 182.77 and 108.83

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Solution

The fourth proportional to 122.60, 182.77 and 108.83 is: 162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.60 : 182.77 = 108.83 : x
  2. Step 2: Convert to fraction form
    122.60/182.77 = 108.83/x
  3. Step 3: Cross multiply
    122.60x = 182.77 × 108.83
  4. Step 4: Simplify right side
    122.60x = 19,890.86
  5. Step 5: Solve for x
    x = 19,890.86/122.60
  6. Step 6: Final answer
    x = 162.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.