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Finding the Fourth Proportional to 122.84, 169.52 and 81.34

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Solution

The fourth proportional to 122.84, 169.52 and 81.34 is: 112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 169.52 = 81.34 : x
  2. Step 2: Convert to fraction form
    122.84/169.52 = 81.34/x
  3. Step 3: Cross multiply
    122.84x = 169.52 × 81.34
  4. Step 4: Simplify right side
    122.84x = 13,788.76
  5. Step 5: Solve for x
    x = 13,788.76/122.84
  6. Step 6: Final answer
    x = 112.25

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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.