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Finding the Fourth Proportional to 40.23, 60.38 and 32.13

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Solution

The fourth proportional to 40.23, 60.38 and 32.13 is: 48.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.23 : 60.38 = 32.13 : x
  2. Step 2: Convert to fraction form
    40.23/60.38 = 32.13/x
  3. Step 3: Cross multiply
    40.23x = 60.38 × 32.13
  4. Step 4: Simplify right side
    40.23x = 1,939.85
  5. Step 5: Solve for x
    x = 1,939.85/40.23
  6. Step 6: Final answer
    x = 48.22

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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.