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Finding the Fourth Proportional to 39.18, 58.68 and 27.78

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Solution

The fourth proportional to 39.18, 58.68 and 27.78 is: 41.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.18 : 58.68 = 27.78 : x
  2. Step 2: Convert to fraction form
    39.18/58.68 = 27.78/x
  3. Step 3: Cross multiply
    39.18x = 58.68 × 27.78
  4. Step 4: Simplify right side
    39.18x = 1,630.13
  5. Step 5: Solve for x
    x = 1,630.13/39.18
  6. Step 6: Final answer
    x = 41.61

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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.