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Finding the Fourth Proportional to 60.74, 83.82 and 37.42

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Solution

The fourth proportional to 60.74, 83.82 and 37.42 is: 51.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.74 : 83.82 = 37.42 : x
  2. Step 2: Convert to fraction form
    60.74/83.82 = 37.42/x
  3. Step 3: Cross multiply
    60.74x = 83.82 × 37.42
  4. Step 4: Simplify right side
    60.74x = 3,136.54
  5. Step 5: Solve for x
    x = 3,136.54/60.74
  6. Step 6: Final answer
    x = 51.64

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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.