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Finding the Fourth Proportional to 132.02, 182.21 and 76.78

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Solution

The fourth proportional to 132.02, 182.21 and 76.78 is: 105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 182.21 = 76.78 : x
  2. Step 2: Convert to fraction form
    132.02/182.21 = 76.78/x
  3. Step 3: Cross multiply
    132.02x = 182.21 × 76.78
  4. Step 4: Simplify right side
    132.02x = 13,990.14
  5. Step 5: Solve for x
    x = 13,990.14/132.02
  6. Step 6: Final answer
    x = 105.97

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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.