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Finding the Fourth Proportional to 88.90, 132.70 and 82.82

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Solution

The fourth proportional to 88.90, 132.70 and 82.82 is: 123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.90 : 132.70 = 82.82 : x
  2. Step 2: Convert to fraction form
    88.90/132.70 = 82.82/x
  3. Step 3: Cross multiply
    88.90x = 132.70 × 82.82
  4. Step 4: Simplify right side
    88.90x = 10,990.21
  5. Step 5: Solve for x
    x = 10,990.21/88.90
  6. Step 6: Final answer
    x = 123.62

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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.