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Finding the Fourth Proportional to 76.67, 115.00 and 38.15

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Solution

The fourth proportional to 76.67, 115.00 and 38.15 is: 57.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.67 : 115.00 = 38.15 : x
  2. Step 2: Convert to fraction form
    76.67/115.00 = 38.15/x
  3. Step 3: Cross multiply
    76.67x = 115.00 × 38.15
  4. Step 4: Simplify right side
    76.67x = 4,386.58
  5. Step 5: Solve for x
    x = 4,386.58/76.67
  6. Step 6: Final answer
    x = 57.22

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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.