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Finding the Fourth Proportional to 169.65, 234.07 and 114.46

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Solution

The fourth proportional to 169.65, 234.07 and 114.46 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.65 : 234.07 = 114.46 : x
  2. Step 2: Convert to fraction form
    169.65/234.07 = 114.46/x
  3. Step 3: Cross multiply
    169.65x = 234.07 × 114.46
  4. Step 4: Simplify right side
    169.65x = 26,791.65
  5. Step 5: Solve for x
    x = 26,791.65/169.65
  6. Step 6: Final answer
    x = 157.92

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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.