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Finding the Fourth Proportional to 132.37, 182.63 and 85.75

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Solution

The fourth proportional to 132.37, 182.63 and 85.75 is: 118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.37 : 182.63 = 85.75 : x
  2. Step 2: Convert to fraction form
    132.37/182.63 = 85.75/x
  3. Step 3: Cross multiply
    132.37x = 182.63 × 85.75
  4. Step 4: Simplify right side
    132.37x = 15,660.28
  5. Step 5: Solve for x
    x = 15,660.28/132.37
  6. Step 6: Final answer
    x = 118.31

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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.