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Finding the Fourth Proportional to 122.09, 168.75 and 110.48

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Solution

The fourth proportional to 122.09, 168.75 and 110.48 is: 152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 168.75 = 110.48 : x
  2. Step 2: Convert to fraction form
    122.09/168.75 = 110.48/x
  3. Step 3: Cross multiply
    122.09x = 168.75 × 110.48
  4. Step 4: Simplify right side
    122.09x = 18,642.66
  5. Step 5: Solve for x
    x = 18,642.66/122.09
  6. Step 6: Final answer
    x = 152.70

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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.