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Finding the Fourth Proportional to 138.18, 189.30 and 132.98

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Solution

The fourth proportional to 138.18, 189.30 and 132.98 is: 182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.18 : 189.30 = 132.98 : x
  2. Step 2: Convert to fraction form
    138.18/189.30 = 132.98/x
  3. Step 3: Cross multiply
    138.18x = 189.30 × 132.98
  4. Step 4: Simplify right side
    138.18x = 25,172.88
  5. Step 5: Solve for x
    x = 25,172.88/138.18
  6. Step 6: Final answer
    x = 182.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.