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Finding the Fourth Proportional to 76.05, 104.86 and 53.91

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Solution

The fourth proportional to 76.05, 104.86 and 53.91 is: 74.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.05 : 104.86 = 53.91 : x
  2. Step 2: Convert to fraction form
    76.05/104.86 = 53.91/x
  3. Step 3: Cross multiply
    76.05x = 104.86 × 53.91
  4. Step 4: Simplify right side
    76.05x = 5,652.73
  5. Step 5: Solve for x
    x = 5,652.73/76.05
  6. Step 6: Final answer
    x = 74.33

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Why These Related Problems?

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