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Finding the Fourth Proportional to 14.72, 20.32 and 11.64

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Solution

The fourth proportional to 14.72, 20.32 and 11.64 is: 16.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.72 : 20.32 = 11.64 : x
  2. Step 2: Convert to fraction form
    14.72/20.32 = 11.64/x
  3. Step 3: Cross multiply
    14.72x = 20.32 × 11.64
  4. Step 4: Simplify right side
    14.72x = 236.57
  5. Step 5: Solve for x
    x = 236.57/14.72
  6. Step 6: Final answer
    x = 16.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.