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Finding the Fourth Proportional to 132.09, 182.04 and 87.75

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Solution

The fourth proportional to 132.09, 182.04 and 87.75 is: 120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.09 : 182.04 = 87.75 : x
  2. Step 2: Convert to fraction form
    132.09/182.04 = 87.75/x
  3. Step 3: Cross multiply
    132.09x = 182.04 × 87.75
  4. Step 4: Simplify right side
    132.09x = 15,974.01
  5. Step 5: Solve for x
    x = 15,974.01/132.09
  6. Step 6: Final answer
    x = 120.93

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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.