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Finding the Fourth Proportional to 76.14, 114.01 and 54.41

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Solution

The fourth proportional to 76.14, 114.01 and 54.41 is: 81.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 114.01 = 54.41 : x
  2. Step 2: Convert to fraction form
    76.14/114.01 = 54.41/x
  3. Step 3: Cross multiply
    76.14x = 114.01 × 54.41
  4. Step 4: Simplify right side
    76.14x = 6,202.58
  5. Step 5: Solve for x
    x = 6,202.58/76.14
  6. Step 6: Final answer
    x = 81.46

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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.