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Finding the Fourth Proportional to 132.30, 182.79 and 129.06

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Solution

The fourth proportional to 132.30, 182.79 and 129.06 is: 178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.30 : 182.79 = 129.06 : x
  2. Step 2: Convert to fraction form
    132.30/182.79 = 129.06/x
  3. Step 3: Cross multiply
    132.30x = 182.79 × 129.06
  4. Step 4: Simplify right side
    132.30x = 23,590.88
  5. Step 5: Solve for x
    x = 23,590.88/132.30
  6. Step 6: Final answer
    x = 178.31

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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.