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Finding the Fourth Proportional to 169.68, 234.10 and 123.02

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Solution

The fourth proportional to 169.68, 234.10 and 123.02 is: 169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.68 : 234.10 = 123.02 : x
  2. Step 2: Convert to fraction form
    169.68/234.10 = 123.02/x
  3. Step 3: Cross multiply
    169.68x = 234.10 × 123.02
  4. Step 4: Simplify right side
    169.68x = 28,798.98
  5. Step 5: Solve for x
    x = 28,798.98/169.68
  6. Step 6: Final answer
    x = 169.73

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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.