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Finding the Fourth Proportional to 132.67, 182.98 and 85.96

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Solution

The fourth proportional to 132.67, 182.98 and 85.96 is: 118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.67 : 182.98 = 85.96 : x
  2. Step 2: Convert to fraction form
    132.67/182.98 = 85.96/x
  3. Step 3: Cross multiply
    132.67x = 182.98 × 85.96
  4. Step 4: Simplify right side
    132.67x = 15,728.96
  5. Step 5: Solve for x
    x = 15,728.96/132.67
  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.