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Finding the Fourth Proportional to 90.86, 136.11 and 73.71

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Solution

The fourth proportional to 90.86, 136.11 and 73.71 is: 110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.86 : 136.11 = 73.71 : x
  2. Step 2: Convert to fraction form
    90.86/136.11 = 73.71/x
  3. Step 3: Cross multiply
    90.86x = 136.11 × 73.71
  4. Step 4: Simplify right side
    90.86x = 10,032.94
  5. Step 5: Solve for x
    x = 10,032.94/90.86
  6. Step 6: Final answer
    x = 110.43

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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.