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Finding the Fourth Proportional to 138.38, 190.89 and 101.52

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Solution

The fourth proportional to 138.38, 190.89 and 101.52 is: 140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.38 : 190.89 = 101.52 : x
  2. Step 2: Convert to fraction form
    138.38/190.89 = 101.52/x
  3. Step 3: Cross multiply
    138.38x = 190.89 × 101.52
  4. Step 4: Simplify right side
    138.38x = 19,379.15
  5. Step 5: Solve for x
    x = 19,379.15/138.38
  6. Step 6: Final answer
    x = 140.05

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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.