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Finding the Fourth Proportional to 38.76, 58.13 and 22.69

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Solution

The fourth proportional to 38.76, 58.13 and 22.69 is: 34.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.76 : 58.13 = 22.69 : x
  2. Step 2: Convert to fraction form
    38.76/58.13 = 22.69/x
  3. Step 3: Cross multiply
    38.76x = 58.13 × 22.69
  4. Step 4: Simplify right side
    38.76x = 1,318.97
  5. Step 5: Solve for x
    x = 1,318.97/38.76
  6. Step 6: Final answer
    x = 34.03

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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.