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Finding the Fourth Proportional to 132.25, 182.40 and 101.09

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Solution

The fourth proportional to 132.25, 182.40 and 101.09 is: 139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.25 : 182.40 = 101.09 : x
  2. Step 2: Convert to fraction form
    132.25/182.40 = 101.09/x
  3. Step 3: Cross multiply
    132.25x = 182.40 × 101.09
  4. Step 4: Simplify right side
    132.25x = 18,438.97
  5. Step 5: Solve for x
    x = 18,438.97/132.25
  6. Step 6: Final answer
    x = 139.42

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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.