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Finding the Fourth Proportional to 76.83, 106.03 and 41.86

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Solution

The fourth proportional to 76.83, 106.03 and 41.86 is: 57.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.83 : 106.03 = 41.86 : x
  2. Step 2: Convert to fraction form
    76.83/106.03 = 41.86/x
  3. Step 3: Cross multiply
    76.83x = 106.03 × 41.86
  4. Step 4: Simplify right side
    76.83x = 4,438.21
  5. Step 5: Solve for x
    x = 4,438.21/76.83
  6. Step 6: Final answer
    x = 57.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.