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Finding the Fourth Proportional to 122.06, 168.53 and 83.32

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Solution

The fourth proportional to 122.06, 168.53 and 83.32 is: 115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 168.53 = 83.32 : x
  2. Step 2: Convert to fraction form
    122.06/168.53 = 83.32/x
  3. Step 3: Cross multiply
    122.06x = 168.53 × 83.32
  4. Step 4: Simplify right side
    122.06x = 14,041.08
  5. Step 5: Solve for x
    x = 14,041.08/122.06
  6. Step 6: Final answer
    x = 115.03

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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.