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Finding the Fourth Proportional to 122.64, 169.16 and 83.76

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Solution

The fourth proportional to 122.64, 169.16 and 83.76 is: 115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.64 : 169.16 = 83.76 : x
  2. Step 2: Convert to fraction form
    122.64/169.16 = 83.76/x
  3. Step 3: Cross multiply
    122.64x = 169.16 × 83.76
  4. Step 4: Simplify right side
    122.64x = 14,168.84
  5. Step 5: Solve for x
    x = 14,168.84/122.64
  6. Step 6: Final answer
    x = 115.53

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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.