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Finding the Fourth Proportional to 54.65, 81.78 and 41.02

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Solution

The fourth proportional to 54.65, 81.78 and 41.02 is: 61.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.65 : 81.78 = 41.02 : x
  2. Step 2: Convert to fraction form
    54.65/81.78 = 41.02/x
  3. Step 3: Cross multiply
    54.65x = 81.78 × 41.02
  4. Step 4: Simplify right side
    54.65x = 3,354.26
  5. Step 5: Solve for x
    x = 3,354.26/54.65
  6. Step 6: Final answer
    x = 61.37

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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.