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Finding the Fourth Proportional to 76.89, 115.44 and 51.15

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Solution

The fourth proportional to 76.89, 115.44 and 51.15 is: 76.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.89 : 115.44 = 51.15 : x
  2. Step 2: Convert to fraction form
    76.89/115.44 = 51.15/x
  3. Step 3: Cross multiply
    76.89x = 115.44 × 51.15
  4. Step 4: Simplify right side
    76.89x = 5,904.76
  5. Step 5: Solve for x
    x = 5,904.76/76.89
  6. Step 6: Final answer
    x = 76.79

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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.