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Finding the Fourth Proportional to 76.11, 114.09 and 37.57

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Solution

The fourth proportional to 76.11, 114.09 and 37.57 is: 56.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.11 : 114.09 = 37.57 : x
  2. Step 2: Convert to fraction form
    76.11/114.09 = 37.57/x
  3. Step 3: Cross multiply
    76.11x = 114.09 × 37.57
  4. Step 4: Simplify right side
    76.11x = 4,286.36
  5. Step 5: Solve for x
    x = 4,286.36/76.11
  6. Step 6: Final answer
    x = 56.32

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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.