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Finding the Fourth Proportional to 88.54, 132.84 and 82.36

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Solution

The fourth proportional to 88.54, 132.84 and 82.36 is: 123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.54 : 132.84 = 82.36 : x
  2. Step 2: Convert to fraction form
    88.54/132.84 = 82.36/x
  3. Step 3: Cross multiply
    88.54x = 132.84 × 82.36
  4. Step 4: Simplify right side
    88.54x = 10,940.70
  5. Step 5: Solve for x
    x = 10,940.70/88.54
  6. Step 6: Final answer
    x = 123.57

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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.