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Finding the Fourth Proportional to 123.36, 170.25 and 76.76

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Solution

The fourth proportional to 123.36, 170.25 and 76.76 is: 105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.36 : 170.25 = 76.76 : x
  2. Step 2: Convert to fraction form
    123.36/170.25 = 76.76/x
  3. Step 3: Cross multiply
    123.36x = 170.25 × 76.76
  4. Step 4: Simplify right side
    123.36x = 13,067.54
  5. Step 5: Solve for x
    x = 13,067.54/123.36
  6. Step 6: Final answer
    x = 105.93

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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.