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Finding the Fourth Proportional to 54.76, 82.19 and 40.36

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Solution

The fourth proportional to 54.76, 82.19 and 40.36 is: 60.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.76 : 82.19 = 40.36 : x
  2. Step 2: Convert to fraction form
    54.76/82.19 = 40.36/x
  3. Step 3: Cross multiply
    54.76x = 82.19 × 40.36
  4. Step 4: Simplify right side
    54.76x = 3,317.19
  5. Step 5: Solve for x
    x = 3,317.19/54.76
  6. Step 6: Final answer
    x = 60.58

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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.