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Finding the Fourth Proportional to 18.78, 25.92 and 10.16

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Solution

The fourth proportional to 18.78, 25.92 and 10.16 is: 14.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.78 : 25.92 = 10.16 : x
  2. Step 2: Convert to fraction form
    18.78/25.92 = 10.16/x
  3. Step 3: Cross multiply
    18.78x = 25.92 × 10.16
  4. Step 4: Simplify right side
    18.78x = 263.23
  5. Step 5: Solve for x
    x = 263.23/18.78
  6. Step 6: Final answer
    x = 14.02

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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.