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Finding the Fourth Proportional to 120.69, 182.05 and 113.20

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Solution

The fourth proportional to 120.69, 182.05 and 113.20 is: 170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.69 : 182.05 = 113.20 : x
  2. Step 2: Convert to fraction form
    120.69/182.05 = 113.20/x
  3. Step 3: Cross multiply
    120.69x = 182.05 × 113.20
  4. Step 4: Simplify right side
    120.69x = 20,607.32
  5. Step 5: Solve for x
    x = 20,607.32/120.69
  6. Step 6: Final answer
    x = 170.75

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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.