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Finding the Fourth Proportional to 89.04, 132.90 and 82.70

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Solution

The fourth proportional to 89.04, 132.90 and 82.70 is: 123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.04 : 132.90 = 82.70 : x
  2. Step 2: Convert to fraction form
    89.04/132.90 = 82.70/x
  3. Step 3: Cross multiply
    89.04x = 132.90 × 82.70
  4. Step 4: Simplify right side
    89.04x = 10,990.17
  5. Step 5: Solve for x
    x = 10,990.17/89.04
  6. Step 6: Final answer
    x = 123.43

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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.