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Finding the Fourth Proportional to 122.91, 169.64 and 95.28

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Solution

The fourth proportional to 122.91, 169.64 and 95.28 is: 131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 169.64 = 95.28 : x
  2. Step 2: Convert to fraction form
    122.91/169.64 = 95.28/x
  3. Step 3: Cross multiply
    122.91x = 169.64 × 95.28
  4. Step 4: Simplify right side
    122.91x = 16,162.82
  5. Step 5: Solve for x
    x = 16,162.82/122.91
  6. Step 6: Final answer
    x = 131.50

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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.