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Finding the Fourth Proportional to 90.21, 135.23 and 32.42

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Solution

The fourth proportional to 90.21, 135.23 and 32.42 is: 48.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.21 : 135.23 = 32.42 : x
  2. Step 2: Convert to fraction form
    90.21/135.23 = 32.42/x
  3. Step 3: Cross multiply
    90.21x = 135.23 × 32.42
  4. Step 4: Simplify right side
    90.21x = 4,383.32
  5. Step 5: Solve for x
    x = 4,383.32/90.21
  6. Step 6: Final answer
    x = 48.59

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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.