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Finding the Fourth Proportional to 73.69, 110.22 and 61.42

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Solution

The fourth proportional to 73.69, 110.22 and 61.42 is: 91.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 110.22 = 61.42 : x
  2. Step 2: Convert to fraction form
    73.69/110.22 = 61.42/x
  3. Step 3: Cross multiply
    73.69x = 110.22 × 61.42
  4. Step 4: Simplify right side
    73.69x = 6,769.71
  5. Step 5: Solve for x
    x = 6,769.71/73.69
  6. Step 6: Final answer
    x = 91.87

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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.