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Finding the Fourth Proportional to 54.12, 81.51 and 45.06

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Solution

The fourth proportional to 54.12, 81.51 and 45.06 is: 67.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.12 : 81.51 = 45.06 : x
  2. Step 2: Convert to fraction form
    54.12/81.51 = 45.06/x
  3. Step 3: Cross multiply
    54.12x = 81.51 × 45.06
  4. Step 4: Simplify right side
    54.12x = 3,672.84
  5. Step 5: Solve for x
    x = 3,672.84/54.12
  6. Step 6: Final answer
    x = 67.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.