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Finding the Fourth Proportional to 14.78, 20.39 and 8.64

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Solution

The fourth proportional to 14.78, 20.39 and 8.64 is: 11.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.78 : 20.39 = 8.64 : x
  2. Step 2: Convert to fraction form
    14.78/20.39 = 8.64/x
  3. Step 3: Cross multiply
    14.78x = 20.39 × 8.64
  4. Step 4: Simplify right side
    14.78x = 176.17
  5. Step 5: Solve for x
    x = 176.17/14.78
  6. Step 6: Final answer
    x = 11.92

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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.