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Finding the Fourth Proportional to 169.46, 233.86 and 91.84

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Solution

The fourth proportional to 169.46, 233.86 and 91.84 is: 126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.46 : 233.86 = 91.84 : x
  2. Step 2: Convert to fraction form
    169.46/233.86 = 91.84/x
  3. Step 3: Cross multiply
    169.46x = 233.86 × 91.84
  4. Step 4: Simplify right side
    169.46x = 21,476.07
  5. Step 5: Solve for x
    x = 21,476.07/169.46
  6. Step 6: Final answer
    x = 126.73

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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.