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Finding the Fourth Proportional to 120.83, 182.28 and 116.05

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Solution

The fourth proportional to 120.83, 182.28 and 116.05 is: 175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.83 : 182.28 = 116.05 : x
  2. Step 2: Convert to fraction form
    120.83/182.28 = 116.05/x
  3. Step 3: Cross multiply
    120.83x = 182.28 × 116.05
  4. Step 4: Simplify right side
    120.83x = 21,153.59
  5. Step 5: Solve for x
    x = 21,153.59/120.83
  6. Step 6: Final answer
    x = 175.07

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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.