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Finding the Fourth Proportional to 122.68, 169.16 and 93.52

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Solution

The fourth proportional to 122.68, 169.16 and 93.52 is: 128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.68 : 169.16 = 93.52 : x
  2. Step 2: Convert to fraction form
    122.68/169.16 = 93.52/x
  3. Step 3: Cross multiply
    122.68x = 169.16 × 93.52
  4. Step 4: Simplify right side
    122.68x = 15,819.84
  5. Step 5: Solve for x
    x = 15,819.84/122.68
  6. Step 6: Final answer
    x = 128.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.