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Finding the Fourth Proportional to 132.05, 182.16 and 82.28

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Solution

The fourth proportional to 132.05, 182.16 and 82.28 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 182.16 = 82.28 : x
  2. Step 2: Convert to fraction form
    132.05/182.16 = 82.28/x
  3. Step 3: Cross multiply
    132.05x = 182.16 × 82.28
  4. Step 4: Simplify right side
    132.05x = 14,987.21
  5. Step 5: Solve for x
    x = 14,987.21/132.05
  6. Step 6: Final answer
    x = 113.50

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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.