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Finding the Fourth Proportional to 89.26, 133.16 and 83.05

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Solution

The fourth proportional to 89.26, 133.16 and 83.05 is: 123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.26 : 133.16 = 83.05 : x
  2. Step 2: Convert to fraction form
    89.26/133.16 = 83.05/x
  3. Step 3: Cross multiply
    89.26x = 133.16 × 83.05
  4. Step 4: Simplify right side
    89.26x = 11,057.86
  5. Step 5: Solve for x
    x = 11,057.86/89.26
  6. Step 6: Final answer
    x = 123.89

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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.