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Finding the Fourth Proportional to 137.02, 189.11 and 97.68

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Solution

The fourth proportional to 137.02, 189.11 and 97.68 is: 134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 189.11 = 97.68 : x
  2. Step 2: Convert to fraction form
    137.02/189.11 = 97.68/x
  3. Step 3: Cross multiply
    137.02x = 189.11 × 97.68
  4. Step 4: Simplify right side
    137.02x = 18,472.26
  5. Step 5: Solve for x
    x = 18,472.26/137.02
  6. Step 6: Final answer
    x = 134.81

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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.