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Finding the Fourth Proportional to 132.70, 183.15 and 77.43

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Solution

The fourth proportional to 132.70, 183.15 and 77.43 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.70 : 183.15 = 77.43 : x
  2. Step 2: Convert to fraction form
    132.70/183.15 = 77.43/x
  3. Step 3: Cross multiply
    132.70x = 183.15 × 77.43
  4. Step 4: Simplify right side
    132.70x = 14,181.30
  5. Step 5: Solve for x
    x = 14,181.30/132.70
  6. Step 6: Final answer
    x = 106.87

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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.