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Finding the Fourth Proportional to 76.80, 105.87 and 49.14

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Solution

The fourth proportional to 76.80, 105.87 and 49.14 is: 67.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.80 : 105.87 = 49.14 : x
  2. Step 2: Convert to fraction form
    76.80/105.87 = 49.14/x
  3. Step 3: Cross multiply
    76.80x = 105.87 × 49.14
  4. Step 4: Simplify right side
    76.80x = 5,202.45
  5. Step 5: Solve for x
    x = 5,202.45/76.80
  6. Step 6: Final answer
    x = 67.74

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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.