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Finding the Fourth Proportional to 120.25, 166.01 and 113.05

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Solution

The fourth proportional to 120.25, 166.01 and 113.05 is: 156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.25 : 166.01 = 113.05 : x
  2. Step 2: Convert to fraction form
    120.25/166.01 = 113.05/x
  3. Step 3: Cross multiply
    120.25x = 166.01 × 113.05
  4. Step 4: Simplify right side
    120.25x = 18,767.43
  5. Step 5: Solve for x
    x = 18,767.43/120.25
  6. Step 6: Final answer
    x = 156.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.