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Finding the Fourth Proportional to 122.74, 169.28 and 95.08

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Solution

The fourth proportional to 122.74, 169.28 and 95.08 is: 131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.74 : 169.28 = 95.08 : x
  2. Step 2: Convert to fraction form
    122.74/169.28 = 95.08/x
  3. Step 3: Cross multiply
    122.74x = 169.28 × 95.08
  4. Step 4: Simplify right side
    122.74x = 16,095.14
  5. Step 5: Solve for x
    x = 16,095.14/122.74
  6. Step 6: Final answer
    x = 131.13

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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.