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Finding the Fourth Proportional to 122.84, 169.68 and 109.10

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Solution

The fourth proportional to 122.84, 169.68 and 109.10 is: 150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 169.68 = 109.10 : x
  2. Step 2: Convert to fraction form
    122.84/169.68 = 109.10/x
  3. Step 3: Cross multiply
    122.84x = 169.68 × 109.10
  4. Step 4: Simplify right side
    122.84x = 18,512.09
  5. Step 5: Solve for x
    x = 18,512.09/122.84
  6. Step 6: Final answer
    x = 150.70

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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.