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Finding the Fourth Proportional to 132.35, 182.69 and 77.12

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Solution

The fourth proportional to 132.35, 182.69 and 77.12 is: 106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.35 : 182.69 = 77.12 : x
  2. Step 2: Convert to fraction form
    132.35/182.69 = 77.12/x
  3. Step 3: Cross multiply
    132.35x = 182.69 × 77.12
  4. Step 4: Simplify right side
    132.35x = 14,087.75
  5. Step 5: Solve for x
    x = 14,087.75/132.35
  6. Step 6: Final answer
    x = 106.44

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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.