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Finding the Fourth Proportional to 18.56, 27.85 and 9.54

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Solution

The fourth proportional to 18.56, 27.85 and 9.54 is: 14.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.56 : 27.85 = 9.54 : x
  2. Step 2: Convert to fraction form
    18.56/27.85 = 9.54/x
  3. Step 3: Cross multiply
    18.56x = 27.85 × 9.54
  4. Step 4: Simplify right side
    18.56x = 265.69
  5. Step 5: Solve for x
    x = 265.69/18.56
  6. Step 6: Final answer
    x = 14.32

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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.