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Finding the Fourth Proportional to 132.08, 182.27 and 76.80

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Solution

The fourth proportional to 132.08, 182.27 and 76.80 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.08 : 182.27 = 76.80 : x
  2. Step 2: Convert to fraction form
    132.08/182.27 = 76.80/x
  3. Step 3: Cross multiply
    132.08x = 182.27 × 76.80
  4. Step 4: Simplify right side
    132.08x = 13,999.21
  5. Step 5: Solve for x
    x = 13,999.21/132.08
  6. Step 6: Final answer
    x = 105.99

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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.