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Finding the Fourth Proportional to 103.82, 142.54 and 94.10

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Solution

The fourth proportional to 103.82, 142.54 and 94.10 is: 129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.82 : 142.54 = 94.10 : x
  2. Step 2: Convert to fraction form
    103.82/142.54 = 94.10/x
  3. Step 3: Cross multiply
    103.82x = 142.54 × 94.10
  4. Step 4: Simplify right side
    103.82x = 13,413.01
  5. Step 5: Solve for x
    x = 13,413.01/103.82
  6. Step 6: Final answer
    x = 129.19

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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.