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Finding the Fourth Proportional to 27.10, 40.56 and 18.08

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Solution

The fourth proportional to 27.10, 40.56 and 18.08 is: 27.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.10 : 40.56 = 18.08 : x
  2. Step 2: Convert to fraction form
    27.10/40.56 = 18.08/x
  3. Step 3: Cross multiply
    27.10x = 40.56 × 18.08
  4. Step 4: Simplify right side
    27.10x = 733.32
  5. Step 5: Solve for x
    x = 733.32/27.10
  6. Step 6: Final answer
    x = 27.06

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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.