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Finding the Fourth Proportional to 76.57, 114.86 and 25.22

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Solution

The fourth proportional to 76.57, 114.86 and 25.22 is: 37.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 114.86 = 25.22 : x
  2. Step 2: Convert to fraction form
    76.57/114.86 = 25.22/x
  3. Step 3: Cross multiply
    76.57x = 114.86 × 25.22
  4. Step 4: Simplify right side
    76.57x = 2,896.26
  5. Step 5: Solve for x
    x = 2,896.26/76.57
  6. Step 6: Final answer
    x = 37.83

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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.