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Finding the Fourth Proportional to 54.16, 81.18 and 41.29

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Solution

The fourth proportional to 54.16, 81.18 and 41.29 is: 61.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.16 : 81.18 = 41.29 : x
  2. Step 2: Convert to fraction form
    54.16/81.18 = 41.29/x
  3. Step 3: Cross multiply
    54.16x = 81.18 × 41.29
  4. Step 4: Simplify right side
    54.16x = 3,351.51
  5. Step 5: Solve for x
    x = 3,351.51/54.16
  6. Step 6: Final answer
    x = 61.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.