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Finding the Fourth Proportional to 116.79, 161.02 and 75.27

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Solution

The fourth proportional to 116.79, 161.02 and 75.27 is: 103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.79 : 161.02 = 75.27 : x
  2. Step 2: Convert to fraction form
    116.79/161.02 = 75.27/x
  3. Step 3: Cross multiply
    116.79x = 161.02 × 75.27
  4. Step 4: Simplify right side
    116.79x = 12,119.98
  5. Step 5: Solve for x
    x = 12,119.98/116.79
  6. Step 6: Final answer
    x = 103.78

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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.