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Finding the Fourth Proportional to 132.56, 182.90 and 76.55

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Solution

The fourth proportional to 132.56, 182.90 and 76.55 is: 105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.56 : 182.90 = 76.55 : x
  2. Step 2: Convert to fraction form
    132.56/182.90 = 76.55/x
  3. Step 3: Cross multiply
    132.56x = 182.90 × 76.55
  4. Step 4: Simplify right side
    132.56x = 14,000.38
  5. Step 5: Solve for x
    x = 14,000.38/132.56
  6. Step 6: Final answer
    x = 105.61

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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.