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Finding the Fourth Proportional to 183.83, 275.75 and 106.88

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Solution

The fourth proportional to 183.83, 275.75 and 106.88 is: 160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.83 : 275.75 = 106.88 : x
  2. Step 2: Convert to fraction form
    183.83/275.75 = 106.88/x
  3. Step 3: Cross multiply
    183.83x = 275.75 × 106.88
  4. Step 4: Simplify right side
    183.83x = 29,470.25
  5. Step 5: Solve for x
    x = 29,470.25/183.83
  6. Step 6: Final answer
    x = 160.32

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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.