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Finding the Fourth Proportional to 122.81, 169.56 and 87.84

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Solution

The fourth proportional to 122.81, 169.56 and 87.84 is: 121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 169.56 = 87.84 : x
  2. Step 2: Convert to fraction form
    122.81/169.56 = 87.84/x
  3. Step 3: Cross multiply
    122.81x = 169.56 × 87.84
  4. Step 4: Simplify right side
    122.81x = 14,894.15
  5. Step 5: Solve for x
    x = 14,894.15/122.81
  6. Step 6: Final answer
    x = 121.28

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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.