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Finding the Fourth Proportional to 122.80, 169.36 and 91.80

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Solution

The fourth proportional to 122.80, 169.36 and 91.80 is: 126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.80 : 169.36 = 91.80 : x
  2. Step 2: Convert to fraction form
    122.80/169.36 = 91.80/x
  3. Step 3: Cross multiply
    122.80x = 169.36 × 91.80
  4. Step 4: Simplify right side
    122.80x = 15,547.25
  5. Step 5: Solve for x
    x = 15,547.25/122.80
  6. Step 6: Final answer
    x = 126.61

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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.