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Finding the Fourth Proportional to 76.69, 105.85 and 49.08

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Solution

The fourth proportional to 76.69, 105.85 and 49.08 is: 67.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.69 : 105.85 = 49.08 : x
  2. Step 2: Convert to fraction form
    76.69/105.85 = 49.08/x
  3. Step 3: Cross multiply
    76.69x = 105.85 × 49.08
  4. Step 4: Simplify right side
    76.69x = 5,195.12
  5. Step 5: Solve for x
    x = 5,195.12/76.69
  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.