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Finding the Fourth Proportional to 137.54, 189.27 and 117.50

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Solution

The fourth proportional to 137.54, 189.27 and 117.50 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 189.27 = 117.50 : x
  2. Step 2: Convert to fraction form
    137.54/189.27 = 117.50/x
  3. Step 3: Cross multiply
    137.54x = 189.27 × 117.50
  4. Step 4: Simplify right side
    137.54x = 22,238.28
  5. Step 5: Solve for x
    x = 22,238.28/137.54
  6. Step 6: Final answer
    x = 161.68

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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.