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Finding the Fourth Proportional to 40.14, 60.32 and 23.04

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Solution

The fourth proportional to 40.14, 60.32 and 23.04 is: 34.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.14 : 60.32 = 23.04 : x
  2. Step 2: Convert to fraction form
    40.14/60.32 = 23.04/x
  3. Step 3: Cross multiply
    40.14x = 60.32 × 23.04
  4. Step 4: Simplify right side
    40.14x = 1,389.77
  5. Step 5: Solve for x
    x = 1,389.77/40.14
  6. Step 6: Final answer
    x = 34.62

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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.