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Finding the Fourth Proportional to 129.20, 177.84 and 110.75

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Solution

The fourth proportional to 129.20, 177.84 and 110.75 is: 152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 177.84 = 110.75 : x
  2. Step 2: Convert to fraction form
    129.20/177.84 = 110.75/x
  3. Step 3: Cross multiply
    129.20x = 177.84 × 110.75
  4. Step 4: Simplify right side
    129.20x = 19,694.89
  5. Step 5: Solve for x
    x = 19,694.89/129.20
  6. Step 6: Final answer
    x = 152.44

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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.