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Finding the Fourth Proportional to 138.53, 191.03 and 97.02

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Solution

The fourth proportional to 138.53, 191.03 and 97.02 is: 133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.53 : 191.03 = 97.02 : x
  2. Step 2: Convert to fraction form
    138.53/191.03 = 97.02/x
  3. Step 3: Cross multiply
    138.53x = 191.03 × 97.02
  4. Step 4: Simplify right side
    138.53x = 18,533.25
  5. Step 5: Solve for x
    x = 18,533.25/138.53
  6. Step 6: Final answer
    x = 133.78

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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.