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Finding the Fourth Proportional to 54.18, 81.30 and 31.10

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Solution

The fourth proportional to 54.18, 81.30 and 31.10 is: 46.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.18 : 81.30 = 31.10 : x
  2. Step 2: Convert to fraction form
    54.18/81.30 = 31.10/x
  3. Step 3: Cross multiply
    54.18x = 81.30 × 31.10
  4. Step 4: Simplify right side
    54.18x = 2,528.13
  5. Step 5: Solve for x
    x = 2,528.13/54.18
  6. Step 6: Final answer
    x = 46.66

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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.