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Finding the Fourth Proportional to 123.24, 169.03 and 108.66

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Solution

The fourth proportional to 123.24, 169.03 and 108.66 is: 149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.24 : 169.03 = 108.66 : x
  2. Step 2: Convert to fraction form
    123.24/169.03 = 108.66/x
  3. Step 3: Cross multiply
    123.24x = 169.03 × 108.66
  4. Step 4: Simplify right side
    123.24x = 18,366.80
  5. Step 5: Solve for x
    x = 18,366.80/123.24
  6. Step 6: Final answer
    x = 149.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.