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Finding the Fourth Proportional to 76.75, 115.12 and 25.40

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Solution

The fourth proportional to 76.75, 115.12 and 25.40 is: 38.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 115.12 = 25.40 : x
  2. Step 2: Convert to fraction form
    76.75/115.12 = 25.40/x
  3. Step 3: Cross multiply
    76.75x = 115.12 × 25.40
  4. Step 4: Simplify right side
    76.75x = 2,924.05
  5. Step 5: Solve for x
    x = 2,924.05/76.75
  6. Step 6: Final answer
    x = 38.10

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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.