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Finding the Fourth Proportional to 77.84, 107.41 and 51.67

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Solution

The fourth proportional to 77.84, 107.41 and 51.67 is: 71.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 107.41 = 51.67 : x
  2. Step 2: Convert to fraction form
    77.84/107.41 = 51.67/x
  3. Step 3: Cross multiply
    77.84x = 107.41 × 51.67
  4. Step 4: Simplify right side
    77.84x = 5,549.08
  5. Step 5: Solve for x
    x = 5,549.08/77.84
  6. Step 6: Final answer
    x = 71.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.