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Finding the Fourth Proportional to 88.46, 132.71 and 82.11

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Solution

The fourth proportional to 88.46, 132.71 and 82.11 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.46 : 132.71 = 82.11 : x
  2. Step 2: Convert to fraction form
    88.46/132.71 = 82.11/x
  3. Step 3: Cross multiply
    88.46x = 132.71 × 82.11
  4. Step 4: Simplify right side
    88.46x = 10,896.91
  5. Step 5: Solve for x
    x = 10,896.91/88.46
  6. Step 6: Final answer
    x = 123.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.