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Finding the Fourth Proportional to 16.30, 24.34 and 15.12

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Solution

The fourth proportional to 16.30, 24.34 and 15.12 is: 22.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.30 : 24.34 = 15.12 : x
  2. Step 2: Convert to fraction form
    16.30/24.34 = 15.12/x
  3. Step 3: Cross multiply
    16.30x = 24.34 × 15.12
  4. Step 4: Simplify right side
    16.30x = 367.89
  5. Step 5: Solve for x
    x = 367.89/16.30
  6. Step 6: Final answer
    x = 22.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.