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Finding the Fourth Proportional to 42.33, 63.42 and 32.22

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Solution

The fourth proportional to 42.33, 63.42 and 32.22 is: 48.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.33 : 63.42 = 32.22 : x
  2. Step 2: Convert to fraction form
    42.33/63.42 = 32.22/x
  3. Step 3: Cross multiply
    42.33x = 63.42 × 32.22
  4. Step 4: Simplify right side
    42.33x = 2,043.39
  5. Step 5: Solve for x
    x = 2,043.39/42.33
  6. Step 6: Final answer
    x = 48.27

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