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Finding the Fourth Proportional to 132.22, 182.47 and 83.10

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Solution

The fourth proportional to 132.22, 182.47 and 83.10 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.22 : 182.47 = 83.10 : x
  2. Step 2: Convert to fraction form
    132.22/182.47 = 83.10/x
  3. Step 3: Cross multiply
    132.22x = 182.47 × 83.10
  4. Step 4: Simplify right side
    132.22x = 15,163.26
  5. Step 5: Solve for x
    x = 15,163.26/132.22
  6. Step 6: Final answer
    x = 114.68

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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.