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Finding the Fourth Proportional to 83.84, 125.78 and 51.36

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Solution

The fourth proportional to 83.84, 125.78 and 51.36 is: 77.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.84 : 125.78 = 51.36 : x
  2. Step 2: Convert to fraction form
    83.84/125.78 = 51.36/x
  3. Step 3: Cross multiply
    83.84x = 125.78 × 51.36
  4. Step 4: Simplify right side
    83.84x = 6,459.80
  5. Step 5: Solve for x
    x = 6,459.80/83.84
  6. Step 6: Final answer
    x = 77.05

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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.