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Finding the Fourth Proportional to 169.79, 234.30 and 92.16

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Solution

The fourth proportional to 169.79, 234.30 and 92.16 is: 127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.79 : 234.30 = 92.16 : x
  2. Step 2: Convert to fraction form
    169.79/234.30 = 92.16/x
  3. Step 3: Cross multiply
    169.79x = 234.30 × 92.16
  4. Step 4: Simplify right side
    169.79x = 21,592.63
  5. Step 5: Solve for x
    x = 21,592.63/169.79
  6. Step 6: Final answer
    x = 127.18

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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.