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Finding the Fourth Proportional to 76.78, 106.01 and 47.68

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Solution

The fourth proportional to 76.78, 106.01 and 47.68 is: 65.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 106.01 = 47.68 : x
  2. Step 2: Convert to fraction form
    76.78/106.01 = 47.68/x
  3. Step 3: Cross multiply
    76.78x = 106.01 × 47.68
  4. Step 4: Simplify right side
    76.78x = 5,054.56
  5. Step 5: Solve for x
    x = 5,054.56/76.78
  6. Step 6: Final answer
    x = 65.83

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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.