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Finding the Fourth Proportional to 54.64, 82 and 40.74

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Solution

The fourth proportional to 54.64, 82 and 40.74 is: 61.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.64 : 82 = 40.74 : x
  2. Step 2: Convert to fraction form
    54.64/82 = 40.74/x
  3. Step 3: Cross multiply
    54.64x = 82 × 40.74
  4. Step 4: Simplify right side
    54.64x = 3,340.68
  5. Step 5: Solve for x
    x = 3,340.68/54.64
  6. Step 6: Final answer
    x = 61.14

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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.