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Finding the Fourth Proportional to 122.40, 168.96 and 83.76

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Solution

The fourth proportional to 122.40, 168.96 and 83.76 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.40 : 168.96 = 83.76 : x
  2. Step 2: Convert to fraction form
    122.40/168.96 = 83.76/x
  3. Step 3: Cross multiply
    122.40x = 168.96 × 83.76
  4. Step 4: Simplify right side
    122.40x = 14,152.09
  5. Step 5: Solve for x
    x = 14,152.09/122.40
  6. Step 6: Final answer
    x = 115.62

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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.