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Finding the Fourth Proportional to 76.24, 114.11 and 73.71

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Solution

The fourth proportional to 76.24, 114.11 and 73.71 is: 110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.24 : 114.11 = 73.71 : x
  2. Step 2: Convert to fraction form
    76.24/114.11 = 73.71/x
  3. Step 3: Cross multiply
    76.24x = 114.11 × 73.71
  4. Step 4: Simplify right side
    76.24x = 8,410.96
  5. Step 5: Solve for x
    x = 8,410.96/76.24
  6. Step 6: Final answer
    x = 110.32

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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.