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Finding the Fourth Proportional to 146.47, 201.96 and 129.89

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Solution

The fourth proportional to 146.47, 201.96 and 129.89 is: 179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.47 : 201.96 = 129.89 : x
  2. Step 2: Convert to fraction form
    146.47/201.96 = 129.89/x
  3. Step 3: Cross multiply
    146.47x = 201.96 × 129.89
  4. Step 4: Simplify right side
    146.47x = 26,231.06
  5. Step 5: Solve for x
    x = 26,231.06/146.47
  6. Step 6: Final answer
    x = 179.09

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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.