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Finding the Fourth Proportional to 123.03, 169.75 and 76.44

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Solution

The fourth proportional to 123.03, 169.75 and 76.44 is: 105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.03 : 169.75 = 76.44 : x
  2. Step 2: Convert to fraction form
    123.03/169.75 = 76.44/x
  3. Step 3: Cross multiply
    123.03x = 169.75 × 76.44
  4. Step 4: Simplify right side
    123.03x = 12,975.69
  5. Step 5: Solve for x
    x = 12,975.69/123.03
  6. Step 6: Final answer
    x = 105.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.