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Finding the Fourth Proportional to 73.89, 110.96 and 68.04

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Solution

The fourth proportional to 73.89, 110.96 and 68.04 is: 102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.89 : 110.96 = 68.04 : x
  2. Step 2: Convert to fraction form
    73.89/110.96 = 68.04/x
  3. Step 3: Cross multiply
    73.89x = 110.96 × 68.04
  4. Step 4: Simplify right side
    73.89x = 7,549.38
  5. Step 5: Solve for x
    x = 7,549.38/73.89
  6. Step 6: Final answer
    x = 102.17

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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.