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Finding the Fourth Proportional to 129.54, 178.59 and 107.33

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Solution

The fourth proportional to 129.54, 178.59 and 107.33 is: 147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.54 : 178.59 = 107.33 : x
  2. Step 2: Convert to fraction form
    129.54/178.59 = 107.33/x
  3. Step 3: Cross multiply
    129.54x = 178.59 × 107.33
  4. Step 4: Simplify right side
    129.54x = 19,167.17
  5. Step 5: Solve for x
    x = 19,167.17/129.54
  6. Step 6: Final answer
    x = 147.97

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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.