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Finding the Fourth Proportional to 76.67, 115 and 54.95

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Solution

The fourth proportional to 76.67, 115 and 54.95 is: 82.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.67 : 115 = 54.95 : x
  2. Step 2: Convert to fraction form
    76.67/115 = 54.95/x
  3. Step 3: Cross multiply
    76.67x = 115 × 54.95
  4. Step 4: Simplify right side
    76.67x = 6,319.25
  5. Step 5: Solve for x
    x = 6,319.25/76.67
  6. Step 6: Final answer
    x = 82.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.