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Finding the Fourth Proportional to 90.20, 135.02 and 54.02

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Solution

The fourth proportional to 90.20, 135.02 and 54.02 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.20 : 135.02 = 54.02 : x
  2. Step 2: Convert to fraction form
    90.20/135.02 = 54.02/x
  3. Step 3: Cross multiply
    90.20x = 135.02 × 54.02
  4. Step 4: Simplify right side
    90.20x = 7,293.24
  5. Step 5: Solve for x
    x = 7,293.24/90.20
  6. Step 6: Final answer
    x = 80.86

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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.