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Finding the Fourth Proportional to 119.56, 164.29 and 114.20

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Solution

The fourth proportional to 119.56, 164.29 and 114.20 is: 156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.56 : 164.29 = 114.20 : x
  2. Step 2: Convert to fraction form
    119.56/164.29 = 114.20/x
  3. Step 3: Cross multiply
    119.56x = 164.29 × 114.20
  4. Step 4: Simplify right side
    119.56x = 18,761.92
  5. Step 5: Solve for x
    x = 18,761.92/119.56
  6. Step 6: Final answer
    x = 156.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.