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Finding the Fourth Proportional to 90.15, 123.67 and 83.27

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Solution

The fourth proportional to 90.15, 123.67 and 83.27 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.15 : 123.67 = 83.27 : x
  2. Step 2: Convert to fraction form
    90.15/123.67 = 83.27/x
  3. Step 3: Cross multiply
    90.15x = 123.67 × 83.27
  4. Step 4: Simplify right side
    90.15x = 10,297.17
  5. Step 5: Solve for x
    x = 10,297.17/90.15
  6. Step 6: Final answer
    x = 114.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.