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Finding the Fourth Proportional to 119, 164.52 and 113.90

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Solution

The fourth proportional to 119, 164.52 and 113.90 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119 : 164.52 = 113.90 : x
  2. Step 2: Convert to fraction form
    119/164.52 = 113.90/x
  3. Step 3: Cross multiply
    119x = 164.52 × 113.90
  4. Step 4: Simplify right side
    119x = 18,738.83
  5. Step 5: Solve for x
    x = 18,738.83/119
  6. Step 6: Final answer
    x = 157.47

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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.