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Finding the Fourth Proportional to 132.56, 182.73 and 88.23

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Solution

The fourth proportional to 132.56, 182.73 and 88.23 is: 121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.56 : 182.73 = 88.23 : x
  2. Step 2: Convert to fraction form
    132.56/182.73 = 88.23/x
  3. Step 3: Cross multiply
    132.56x = 182.73 × 88.23
  4. Step 4: Simplify right side
    132.56x = 16,121.25
  5. Step 5: Solve for x
    x = 16,121.25/132.56
  6. Step 6: Final answer
    x = 121.62

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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.