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Finding the Fourth Proportional to 76.28, 114.46 and 37.78

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Solution

The fourth proportional to 76.28, 114.46 and 37.78 is: 56.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.28 : 114.46 = 37.78 : x
  2. Step 2: Convert to fraction form
    76.28/114.46 = 37.78/x
  3. Step 3: Cross multiply
    76.28x = 114.46 × 37.78
  4. Step 4: Simplify right side
    76.28x = 4,323.92
  5. Step 5: Solve for x
    x = 4,323.92/76.28
  6. Step 6: Final answer
    x = 56.69

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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.