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Finding the Fourth Proportional to 122.88, 169.68 and 84.16

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Solution

The fourth proportional to 122.88, 169.68 and 84.16 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 169.68 = 84.16 : x
  2. Step 2: Convert to fraction form
    122.88/169.68 = 84.16/x
  3. Step 3: Cross multiply
    122.88x = 169.68 × 84.16
  4. Step 4: Simplify right side
    122.88x = 14,280.27
  5. Step 5: Solve for x
    x = 14,280.27/122.88
  6. Step 6: Final answer
    x = 116.21

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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.