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Finding the Fourth Proportional to 123.48, 185.31 and 109.98

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Solution

The fourth proportional to 123.48, 185.31 and 109.98 is: 165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.48 : 185.31 = 109.98 : x
  2. Step 2: Convert to fraction form
    123.48/185.31 = 109.98/x
  3. Step 3: Cross multiply
    123.48x = 185.31 × 109.98
  4. Step 4: Simplify right side
    123.48x = 20,380.39
  5. Step 5: Solve for x
    x = 20,380.39/123.48
  6. Step 6: Final answer
    x = 165.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.