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Finding the Fourth Proportional to 132.43, 182.80 and 85.89

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Solution

The fourth proportional to 132.43, 182.80 and 85.89 is: 118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.43 : 182.80 = 85.89 : x
  2. Step 2: Convert to fraction form
    132.43/182.80 = 85.89/x
  3. Step 3: Cross multiply
    132.43x = 182.80 × 85.89
  4. Step 4: Simplify right side
    132.43x = 15,700.69
  5. Step 5: Solve for x
    x = 15,700.69/132.43
  6. Step 6: Final answer
    x = 118.56

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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.