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Finding the Fourth Proportional to 60.38, 83.42 and 47.33

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Solution

The fourth proportional to 60.38, 83.42 and 47.33 is: 65.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.38 : 83.42 = 47.33 : x
  2. Step 2: Convert to fraction form
    60.38/83.42 = 47.33/x
  3. Step 3: Cross multiply
    60.38x = 83.42 × 47.33
  4. Step 4: Simplify right side
    60.38x = 3,948.27
  5. Step 5: Solve for x
    x = 3,948.27/60.38
  6. Step 6: Final answer
    x = 65.39

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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.