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Finding the Fourth Proportional to 132.31, 182.73 and 106.36

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Solution

The fourth proportional to 132.31, 182.73 and 106.36 is: 146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 182.73 = 106.36 : x
  2. Step 2: Convert to fraction form
    132.31/182.73 = 106.36/x
  3. Step 3: Cross multiply
    132.31x = 182.73 × 106.36
  4. Step 4: Simplify right side
    132.31x = 19,435.83
  5. Step 5: Solve for x
    x = 19,435.83/132.31
  6. Step 6: Final answer
    x = 146.90

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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.