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Finding the Fourth Proportional to 60.14, 83.01 and 38.30

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Solution

The fourth proportional to 60.14, 83.01 and 38.30 is: 52.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.14 : 83.01 = 38.30 : x
  2. Step 2: Convert to fraction form
    60.14/83.01 = 38.30/x
  3. Step 3: Cross multiply
    60.14x = 83.01 × 38.30
  4. Step 4: Simplify right side
    60.14x = 3,179.28
  5. Step 5: Solve for x
    x = 3,179.28/60.14
  6. Step 6: Final answer
    x = 52.86

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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.