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Finding the Fourth Proportional to 76.98, 113.88 and 76.98

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Solution

The fourth proportional to 76.98, 113.88 and 76.98 is: 113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 113.88 = 76.98 : x
  2. Step 2: Convert to fraction form
    76.98/113.88 = 76.98/x
  3. Step 3: Cross multiply
    76.98x = 113.88 × 76.98
  4. Step 4: Simplify right side
    76.98x = 8,766.48
  5. Step 5: Solve for x
    x = 8,766.48/76.98
  6. Step 6: Final answer
    x = 113.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.