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Finding the Fourth Proportional to 137.61, 189.86 and 93.96

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Solution

The fourth proportional to 137.61, 189.86 and 93.96 is: 129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.61 : 189.86 = 93.96 : x
  2. Step 2: Convert to fraction form
    137.61/189.86 = 93.96/x
  3. Step 3: Cross multiply
    137.61x = 189.86 × 93.96
  4. Step 4: Simplify right side
    137.61x = 17,838.78
  5. Step 5: Solve for x
    x = 17,838.78/137.61
  6. Step 6: Final answer
    x = 129.63

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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.