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Finding the Fourth Proportional to 90.26, 135.33 and 38.22

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Solution

The fourth proportional to 90.26, 135.33 and 38.22 is: 57.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.26 : 135.33 = 38.22 : x
  2. Step 2: Convert to fraction form
    90.26/135.33 = 38.22/x
  3. Step 3: Cross multiply
    90.26x = 135.33 × 38.22
  4. Step 4: Simplify right side
    90.26x = 5,171.66
  5. Step 5: Solve for x
    x = 5,171.66/90.26
  6. Step 6: Final answer
    x = 57.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.