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Finding the Fourth Proportional to 76.09, 114.11 and 41.87

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Solution

The fourth proportional to 76.09, 114.11 and 41.87 is: 62.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.09 : 114.11 = 41.87 : x
  2. Step 2: Convert to fraction form
    76.09/114.11 = 41.87/x
  3. Step 3: Cross multiply
    76.09x = 114.11 × 41.87
  4. Step 4: Simplify right side
    76.09x = 4,777.79
  5. Step 5: Solve for x
    x = 4,777.79/76.09
  6. Step 6: Final answer
    x = 62.79

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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.