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Finding the Fourth Proportional to 89.70, 133.84 and 83.31

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Solution

The fourth proportional to 89.70, 133.84 and 83.31 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.70 : 133.84 = 83.31 : x
  2. Step 2: Convert to fraction form
    89.70/133.84 = 83.31/x
  3. Step 3: Cross multiply
    89.70x = 133.84 × 83.31
  4. Step 4: Simplify right side
    89.70x = 11,150.21
  5. Step 5: Solve for x
    x = 11,150.21/89.70
  6. Step 6: Final answer
    x = 124.31

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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.