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Finding the Fourth Proportional to 122.42, 169 and 83.64

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Solution

The fourth proportional to 122.42, 169 and 83.64 is: 115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.42 : 169 = 83.64 : x
  2. Step 2: Convert to fraction form
    122.42/169 = 83.64/x
  3. Step 3: Cross multiply
    122.42x = 169 × 83.64
  4. Step 4: Simplify right side
    122.42x = 14,135.16
  5. Step 5: Solve for x
    x = 14,135.16/122.42
  6. Step 6: Final answer
    x = 115.46

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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.