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Finding the Fourth Proportional to 138.52, 191.05 and 97.03

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Solution

The fourth proportional to 138.52, 191.05 and 97.03 is: 133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.52 : 191.05 = 97.03 : x
  2. Step 2: Convert to fraction form
    138.52/191.05 = 97.03/x
  3. Step 3: Cross multiply
    138.52x = 191.05 × 97.03
  4. Step 4: Simplify right side
    138.52x = 18,537.58
  5. Step 5: Solve for x
    x = 18,537.58/138.52
  6. Step 6: Final answer
    x = 133.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.