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Finding the Fourth Proportional to 76.98, 106.20 and 47.82

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Solution

The fourth proportional to 76.98, 106.20 and 47.82 is: 65.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 106.20 = 47.82 : x
  2. Step 2: Convert to fraction form
    76.98/106.20 = 47.82/x
  3. Step 3: Cross multiply
    76.98x = 106.20 × 47.82
  4. Step 4: Simplify right side
    76.98x = 5,078.48
  5. Step 5: Solve for x
    x = 5,078.48/76.98
  6. Step 6: Final answer
    x = 65.97

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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.