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Finding the Fourth Proportional to 76.84, 115.20 and 64.84

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Solution

The fourth proportional to 76.84, 115.20 and 64.84 is: 97.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.84 : 115.20 = 64.84 : x
  2. Step 2: Convert to fraction form
    76.84/115.20 = 64.84/x
  3. Step 3: Cross multiply
    76.84x = 115.20 × 64.84
  4. Step 4: Simplify right side
    76.84x = 7,469.57
  5. Step 5: Solve for x
    x = 7,469.57/76.84
  6. Step 6: Final answer
    x = 97.21

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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.