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Finding the Fourth Proportional to 73.66, 110.89 and 67.38

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Solution

The fourth proportional to 73.66, 110.89 and 67.38 is: 101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.66 : 110.89 = 67.38 : x
  2. Step 2: Convert to fraction form
    73.66/110.89 = 67.38/x
  3. Step 3: Cross multiply
    73.66x = 110.89 × 67.38
  4. Step 4: Simplify right side
    73.66x = 7,471.77
  5. Step 5: Solve for x
    x = 7,471.77/73.66
  6. Step 6: Final answer
    x = 101.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.