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Finding the Fourth Proportional to 76.08, 104.94 and 46.92

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Solution

The fourth proportional to 76.08, 104.94 and 46.92 is: 64.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.08 : 104.94 = 46.92 : x
  2. Step 2: Convert to fraction form
    76.08/104.94 = 46.92/x
  3. Step 3: Cross multiply
    76.08x = 104.94 × 46.92
  4. Step 4: Simplify right side
    76.08x = 4,923.78
  5. Step 5: Solve for x
    x = 4,923.78/76.08
  6. Step 6: Final answer
    x = 64.72

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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.