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Finding the Fourth Proportional to 122.96, 169.66 and 76.36

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Solution

The fourth proportional to 122.96, 169.66 and 76.36 is: 105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.96 : 169.66 = 76.36 : x
  2. Step 2: Convert to fraction form
    122.96/169.66 = 76.36/x
  3. Step 3: Cross multiply
    122.96x = 169.66 × 76.36
  4. Step 4: Simplify right side
    122.96x = 12,955.24
  5. Step 5: Solve for x
    x = 12,955.24/122.96
  6. Step 6: Final answer
    x = 105.36

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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.