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Finding the Fourth Proportional to 76.84, 106.02 and 50.96

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Solution

The fourth proportional to 76.84, 106.02 and 50.96 is: 70.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.84 : 106.02 = 50.96 : x
  2. Step 2: Convert to fraction form
    76.84/106.02 = 50.96/x
  3. Step 3: Cross multiply
    76.84x = 106.02 × 50.96
  4. Step 4: Simplify right side
    76.84x = 5,402.78
  5. Step 5: Solve for x
    x = 5,402.78/76.84
  6. Step 6: Final answer
    x = 70.31

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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.