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Finding the Fourth Proportional to 90.20, 135.34 and 32.43

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Solution

The fourth proportional to 90.20, 135.34 and 32.43 is: 48.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.20 : 135.34 = 32.43 : x
  2. Step 2: Convert to fraction form
    90.20/135.34 = 32.43/x
  3. Step 3: Cross multiply
    90.20x = 135.34 × 32.43
  4. Step 4: Simplify right side
    90.20x = 4,389.00
  5. Step 5: Solve for x
    x = 4,389.00/90.20
  6. Step 6: Final answer
    x = 48.66

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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.