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Finding the Fourth Proportional to 122.81, 169.41 and 76.14

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Solution

The fourth proportional to 122.81, 169.41 and 76.14 is: 105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 169.41 = 76.14 : x
  2. Step 2: Convert to fraction form
    122.81/169.41 = 76.14/x
  3. Step 3: Cross multiply
    122.81x = 169.41 × 76.14
  4. Step 4: Simplify right side
    122.81x = 12,898.88
  5. Step 5: Solve for x
    x = 12,898.88/122.81
  6. Step 6: Final answer
    x = 105.03

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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.