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Finding the Fourth Proportional to 76.35, 114.39 and 37.80

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Solution

The fourth proportional to 76.35, 114.39 and 37.80 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.35 : 114.39 = 37.80 : x
  2. Step 2: Convert to fraction form
    76.35/114.39 = 37.80/x
  3. Step 3: Cross multiply
    76.35x = 114.39 × 37.80
  4. Step 4: Simplify right side
    76.35x = 4,323.94
  5. Step 5: Solve for x
    x = 4,323.94/76.35
  6. Step 6: Final answer
    x = 56.63

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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.