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Finding the Fourth Proportional to 137.48, 189.63 and 114.27

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Solution

The fourth proportional to 137.48, 189.63 and 114.27 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.48 : 189.63 = 114.27 : x
  2. Step 2: Convert to fraction form
    137.48/189.63 = 114.27/x
  3. Step 3: Cross multiply
    137.48x = 189.63 × 114.27
  4. Step 4: Simplify right side
    137.48x = 21,669.02
  5. Step 5: Solve for x
    x = 21,669.02/137.48
  6. Step 6: Final answer
    x = 157.62

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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.