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Finding the Fourth Proportional to 76.71, 105.83 and 49.08

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Solution

The fourth proportional to 76.71, 105.83 and 49.08 is: 67.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.71 : 105.83 = 49.08 : x
  2. Step 2: Convert to fraction form
    76.71/105.83 = 49.08/x
  3. Step 3: Cross multiply
    76.71x = 105.83 × 49.08
  4. Step 4: Simplify right side
    76.71x = 5,194.14
  5. Step 5: Solve for x
    x = 5,194.14/76.71
  6. Step 6: Final answer
    x = 67.71

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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.