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Finding the Fourth Proportional to 169.37, 254 and 123.91

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Solution

The fourth proportional to 169.37, 254 and 123.91 is: 185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.37 : 254 = 123.91 : x
  2. Step 2: Convert to fraction form
    169.37/254 = 123.91/x
  3. Step 3: Cross multiply
    169.37x = 254 × 123.91
  4. Step 4: Simplify right side
    169.37x = 31,473.14
  5. Step 5: Solve for x
    x = 31,473.14/169.37
  6. Step 6: Final answer
    x = 185.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.