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Finding the Fourth Proportional to 132.15, 182.34 and 76.89

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Solution

The fourth proportional to 132.15, 182.34 and 76.89 is: 106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.15 : 182.34 = 76.89 : x
  2. Step 2: Convert to fraction form
    132.15/182.34 = 76.89/x
  3. Step 3: Cross multiply
    132.15x = 182.34 × 76.89
  4. Step 4: Simplify right side
    132.15x = 14,020.12
  5. Step 5: Solve for x
    x = 14,020.12/132.15
  6. Step 6: Final answer
    x = 106.09

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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.