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Finding the Fourth Proportional to 89.43, 133.49 and 82.74

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Solution

The fourth proportional to 89.43, 133.49 and 82.74 is: 123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.43 : 133.49 = 82.74 : x
  2. Step 2: Convert to fraction form
    89.43/133.49 = 82.74/x
  3. Step 3: Cross multiply
    89.43x = 133.49 × 82.74
  4. Step 4: Simplify right side
    89.43x = 11,044.96
  5. Step 5: Solve for x
    x = 11,044.96/89.43
  6. Step 6: Final answer
    x = 123.50

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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.