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Finding the Fourth Proportional to 122.62, 169.14 and 78.36

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Solution

The fourth proportional to 122.62, 169.14 and 78.36 is: 108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.62 : 169.14 = 78.36 : x
  2. Step 2: Convert to fraction form
    122.62/169.14 = 78.36/x
  3. Step 3: Cross multiply
    122.62x = 169.14 × 78.36
  4. Step 4: Simplify right side
    122.62x = 13,253.81
  5. Step 5: Solve for x
    x = 13,253.81/122.62
  6. Step 6: Final answer
    x = 108.09

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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.