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Finding the Fourth Proportional to 76.62, 105.75 and 54.18

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Solution

The fourth proportional to 76.62, 105.75 and 54.18 is: 74.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 105.75 = 54.18 : x
  2. Step 2: Convert to fraction form
    76.62/105.75 = 54.18/x
  3. Step 3: Cross multiply
    76.62x = 105.75 × 54.18
  4. Step 4: Simplify right side
    76.62x = 5,729.54
  5. Step 5: Solve for x
    x = 5,729.54/76.62
  6. Step 6: Final answer
    x = 74.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.