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Finding the Fourth Proportional to 132, 182.12 and 76.74

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Solution

The fourth proportional to 132, 182.12 and 76.74 is: 105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 182.12 = 76.74 : x
  2. Step 2: Convert to fraction form
    132/182.12 = 76.74/x
  3. Step 3: Cross multiply
    132x = 182.12 × 76.74
  4. Step 4: Simplify right side
    132x = 13,975.89
  5. Step 5: Solve for x
    x = 13,975.89/132
  6. Step 6: Final answer
    x = 105.88

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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.