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Finding the Fourth Proportional to 88.61, 132.21 and 82.13

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Solution

The fourth proportional to 88.61, 132.21 and 82.13 is: 122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.61 : 132.21 = 82.13 : x
  2. Step 2: Convert to fraction form
    88.61/132.21 = 82.13/x
  3. Step 3: Cross multiply
    88.61x = 132.21 × 82.13
  4. Step 4: Simplify right side
    88.61x = 10,857.75
  5. Step 5: Solve for x
    x = 10,857.75/88.61
  6. Step 6: Final answer
    x = 122.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.