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Finding the Fourth Proportional to 60.42, 83.39 and 39.74

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Solution

The fourth proportional to 60.42, 83.39 and 39.74 is: 54.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.42 : 83.39 = 39.74 : x
  2. Step 2: Convert to fraction form
    60.42/83.39 = 39.74/x
  3. Step 3: Cross multiply
    60.42x = 83.39 × 39.74
  4. Step 4: Simplify right side
    60.42x = 3,313.30
  5. Step 5: Solve for x
    x = 3,313.30/60.42
  6. Step 6: Final answer
    x = 54.83

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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.