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Finding the Fourth Proportional to 76.73, 105.92 and 49.10

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Solution

The fourth proportional to 76.73, 105.92 and 49.10 is: 67.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.73 : 105.92 = 49.10 : x
  2. Step 2: Convert to fraction form
    76.73/105.92 = 49.10/x
  3. Step 3: Cross multiply
    76.73x = 105.92 × 49.10
  4. Step 4: Simplify right side
    76.73x = 5,199.90
  5. Step 5: Solve for x
    x = 5,199.90/76.73
  6. Step 6: Final answer
    x = 67.77

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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.