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Finding the Fourth Proportional to 132.27, 182.54 and 76.27

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Solution

The fourth proportional to 132.27, 182.54 and 76.27 is: 105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.27 : 182.54 = 76.27 : x
  2. Step 2: Convert to fraction form
    132.27/182.54 = 76.27/x
  3. Step 3: Cross multiply
    132.27x = 182.54 × 76.27
  4. Step 4: Simplify right side
    132.27x = 13,921.49
  5. Step 5: Solve for x
    x = 13,921.49/132.27
  6. Step 6: Final answer
    x = 105.25

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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.