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Finding the Fourth Proportional to 132.25, 182.09 and 120.10

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Solution

The fourth proportional to 132.25, 182.09 and 120.10 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.25 : 182.09 = 120.10 : x
  2. Step 2: Convert to fraction form
    132.25/182.09 = 120.10/x
  3. Step 3: Cross multiply
    132.25x = 182.09 × 120.10
  4. Step 4: Simplify right side
    132.25x = 21,869.91
  5. Step 5: Solve for x
    x = 21,869.91/132.25
  6. Step 6: Final answer
    x = 165.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.