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Finding the Fourth Proportional to 90.18, 124.34 and 83.23

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Solution

The fourth proportional to 90.18, 124.34 and 83.23 is: 114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.18 : 124.34 = 83.23 : x
  2. Step 2: Convert to fraction form
    90.18/124.34 = 83.23/x
  3. Step 3: Cross multiply
    90.18x = 124.34 × 83.23
  4. Step 4: Simplify right side
    90.18x = 10,348.09
  5. Step 5: Solve for x
    x = 10,348.09/90.18
  6. Step 6: Final answer
    x = 114.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.