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Finding the Fourth Proportional to 60.38, 83.18 and 49.44

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Solution

The fourth proportional to 60.38, 83.18 and 49.44 is: 68.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.38 : 83.18 = 49.44 : x
  2. Step 2: Convert to fraction form
    60.38/83.18 = 49.44/x
  3. Step 3: Cross multiply
    60.38x = 83.18 × 49.44
  4. Step 4: Simplify right side
    60.38x = 4,112.17
  5. Step 5: Solve for x
    x = 4,112.17/60.38
  6. Step 6: Final answer
    x = 68.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.